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491,400

491,400 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

491,400 (four hundred ninety-one thousand four hundred) is an even 6-digit number. It is a composite number with 192 divisors, and factors as 2³ × 3³ × 5² × 7 × 13. Its proper divisors sum to 1,591,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77F88.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Highly Abundant Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
4,194
Square (n²)
241,473,960,000
Cube (n³)
118,660,303,944,000,000
Divisor count
192
σ(n) — sum of divisors
2,083,200
φ(n) — Euler's totient
103,680
Sum of prime factors
45

Primality

Prime factorization: 2 3 × 3 3 × 5 2 × 7 × 13

Nearest primes: 491,377 (−23) · 491,417 (+17)

Divisors & multiples

All divisors (192)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 13 · 14 · 15 · 18 · 20 · 21 · 24 · 25 · 26 · 27 · 28 · 30 · 35 · 36 · 39 · 40 · 42 · 45 · 50 · 52 · 54 · 56 · 60 · 63 · 65 · 70 · 72 · 75 · 78 · 84 · 90 · 91 · 100 · 104 · 105 · 108 · 117 · 120 · 126 · 130 · 135 · 140 · 150 · 156 · 168 · 175 · 180 · 182 · 189 · 195 · 200 · 210 · 216 · 225 · 234 · 252 · 260 · 270 · 273 · 280 · 300 · 312 · 315 · 325 · 350 · 351 · 360 · 364 · 378 · 390 · 420 · 450 · 455 · 468 · 504 · 520 · 525 · 540 · 546 · 585 · 600 · 630 · 650 · 675 · 700 · 702 · 728 · 756 · 780 · 819 · 840 · 900 · 910 · 936 · 945 · 975 · 1050 · 1080 · 1092 · 1170 · 1260 · 1300 · 1350 · 1365 · 1400 · 1404 · 1512 · 1560 · 1575 · 1638 · 1755 · 1800 · 1820 · 1890 · 1950 · 2100 · 2184 · 2275 · 2340 · 2457 · 2520 · 2600 · 2700 · 2730 · 2808 · 2925 · 3150 · 3276 · 3510 · 3640 · 3780 · 3900 · 4095 · 4200 · 4550 · 4680 · 4725 · 4914 · 5400 · 5460 · 5850 · 6300 · 6552 · 6825 · 7020 · 7560 · 7800 · 8190 · 8775 · 9100 · 9450 · 9828 · 10920 · 11700 · 12285 · 12600 · 13650 · 14040 · 16380 · 17550 · 18200 · 18900 · 19656 · 20475 · 23400 · 24570 · 27300 · 32760 · 35100 · 37800 · 40950 · 49140 · 54600 · 61425 · 70200 · 81900 · 98280 · 122850 · 163800 · 245700 (half) · 491400
Aliquot sum (sum of proper divisors): 1,591,800
Factor pairs (a × b = 491,400)
1 × 491400
2 × 245700
3 × 163800
4 × 122850
5 × 98280
6 × 81900
7 × 70200
8 × 61425
9 × 54600
10 × 49140
12 × 40950
13 × 37800
14 × 35100
15 × 32760
18 × 27300
20 × 24570
21 × 23400
24 × 20475
25 × 19656
26 × 18900
27 × 18200
28 × 17550
30 × 16380
35 × 14040
36 × 13650
39 × 12600
40 × 12285
42 × 11700
45 × 10920
50 × 9828
52 × 9450
54 × 9100
56 × 8775
60 × 8190
63 × 7800
65 × 7560
70 × 7020
72 × 6825
75 × 6552
78 × 6300
84 × 5850
90 × 5460
91 × 5400
100 × 4914
104 × 4725
105 × 4680
108 × 4550
117 × 4200
120 × 4095
126 × 3900
130 × 3780
135 × 3640
140 × 3510
150 × 3276
156 × 3150
168 × 2925
175 × 2808
180 × 2730
182 × 2700
189 × 2600
195 × 2520
200 × 2457
210 × 2340
216 × 2275
225 × 2184
234 × 2100
252 × 1950
260 × 1890
270 × 1820
273 × 1800
280 × 1755
300 × 1638
312 × 1575
315 × 1560
325 × 1512
350 × 1404
351 × 1400
360 × 1365
364 × 1350
378 × 1300
390 × 1260
420 × 1170
450 × 1092
455 × 1080
468 × 1050
504 × 975
520 × 945
525 × 936
540 × 910
546 × 900
585 × 840
600 × 819
630 × 780
650 × 756
675 × 728
700 × 702
First multiples
491,400 · 982,800 (double) · 1,474,200 · 1,965,600 · 2,457,000 · 2,948,400 · 3,439,800 · 3,931,200 · 4,422,600 · 4,914,000

Sums & aliquot sequence

As consecutive integers: 163,799 + 163,800 + 163,801 98,278 + 98,279 + 98,280 + 98,281 + 98,282 70,197 + 70,198 + … + 70,203 54,596 + 54,597 + … + 54,604
Aliquot sequence: 491,400 1,591,800 4,062,600 10,179,420 18,323,124 24,651,276 39,440,724 53,143,404 71,837,844 109,674,732 147,667,668 197,657,004 263,785,236 463,039,212 617,385,644 463,039,240 608,590,760 — unresolved within range

Continued fraction of √n

√491,400 = [700; (1, 1400)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-one thousand four hundred
Ordinal
491400th
Binary
1110111111110001000
Octal
1677610
Hexadecimal
0x77F88
Base64
B3+I
One's complement
4,294,475,895 (32-bit)
Scientific notation
4.914 × 10⁵
As a duration
491,400 s = 5 days, 16 hours, 30 minutes
In other bases
ternary (3) 220222002000
quaternary (4) 1313332020
quinary (5) 111211100
senary (6) 14311000
septenary (7) 4114440
nonary (9) 828060
undecimal (11) 306218
duodecimal (12) 1b8460
tridecimal (13) 142890
tetradecimal (14) cb120
pentadecimal (15) 9a900

As an angle

491,400° = 1,365 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢
Greek (Milesian)
͵υϟαυʹ
Chinese
四十九萬一千四百
Chinese (financial)
肆拾玖萬壹仟肆佰
In other modern scripts
Eastern Arabic ٤٩١٤٠٠ Devanagari ४९१४०० Bengali ৪৯১৪০০ Tamil ௪௯௧௪௦௦ Thai ๔๙๑๔๐๐ Tibetan ༤༩༡༤༠༠ Khmer ៤៩១៤០០ Lao ໔໙໑໔໐໐ Burmese ၄၉၁၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 491400, here are decompositions:

  • 23 + 491377 = 491400
  • 29 + 491371 = 491400
  • 43 + 491357 = 491400
  • 47 + 491353 = 491400
  • 59 + 491341 = 491400
  • 61 + 491339 = 491400
  • 67 + 491333 = 491400
  • 71 + 491329 = 491400

Showing the first eight; more decompositions exist.

Hex color
#077F88
RGB(7, 127, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.127.136.

Address
0.7.127.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.127.136

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 491,400 and was likely granted around 1893.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 491400 first appears in π at position 683,292 of the decimal expansion (the 683,292ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.