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491,360

491,360 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.).

491,360 (four hundred ninety-one thousand three hundred sixty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 37 × 83. Its proper divisors sum to 715,216, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77F60.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
63,194
Square (n²)
241,434,649,600
Cube (n³)
118,631,329,427,456,000
Divisor count
48
σ(n) — sum of divisors
1,206,576
φ(n) — Euler's totient
188,928
Sum of prime factors
135

Primality

Prime factorization: 2 5 × 5 × 37 × 83

Nearest primes: 491,357 (−3) · 491,371 (+11)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 37 · 40 · 74 · 80 · 83 · 148 · 160 · 166 · 185 · 296 · 332 · 370 · 415 · 592 · 664 · 740 · 830 · 1184 · 1328 · 1480 · 1660 · 2656 · 2960 · 3071 · 3320 · 5920 · 6142 · 6640 · 12284 · 13280 · 15355 · 24568 · 30710 · 49136 · 61420 · 98272 · 122840 · 245680 (half) · 491360
Aliquot sum (sum of proper divisors): 715,216
Factor pairs (a × b = 491,360)
1 × 491360
2 × 245680
4 × 122840
5 × 98272
8 × 61420
10 × 49136
16 × 30710
20 × 24568
32 × 15355
37 × 13280
40 × 12284
74 × 6640
80 × 6142
83 × 5920
148 × 3320
160 × 3071
166 × 2960
185 × 2656
296 × 1660
332 × 1480
370 × 1328
415 × 1184
592 × 830
664 × 740
First multiples
491,360 · 982,720 (double) · 1,474,080 · 1,965,440 · 2,456,800 · 2,948,160 · 3,439,520 · 3,930,880 · 4,422,240 · 4,913,600

Sums & aliquot sequence

As consecutive integers: 98,270 + 98,271 + 98,272 + 98,273 + 98,274 13,262 + 13,263 + … + 13,298 7,646 + 7,647 + … + 7,709 5,879 + 5,880 + … + 5,961
Aliquot sequence: 491,360 715,216 670,546 335,276 259,444 207,120 435,696 732,384 1,351,152 2,778,792 4,168,248 8,039,112 12,058,728 20,829,432 35,890,728 53,836,152 80,975,448 — unresolved within range

Continued fraction of √n

√491,360 = [700; (1, 33, 5, 6, 1, 20, 1, 2, 2, 2, 2, 7, 1, 1, 4, 2, 2, 7, 1, 7, 1, 7, 2, 2, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-one thousand three hundred sixty
Ordinal
491360th
Binary
1110111111101100000
Octal
1677540
Hexadecimal
0x77F60
Base64
B39g
One's complement
4,294,475,935 (32-bit)
Scientific notation
4.9136 × 10⁵
As a duration
491,360 s = 5 days, 16 hours, 29 minutes, 20 seconds
In other bases
ternary (3) 220222000112
quaternary (4) 1313331200
quinary (5) 111210420
senary (6) 14310452
septenary (7) 4114352
nonary (9) 828015
undecimal (11) 306191
duodecimal (12) 1b8428
tridecimal (13) 14285c
tetradecimal (14) cb0d2
pentadecimal (15) 9a8c5

As an angle

491,360° = 1,364 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υϟατξʹ
Chinese
四十九萬一千三百六十
Chinese (financial)
肆拾玖萬壹仟參佰陸拾
In other modern scripts
Eastern Arabic ٤٩١٣٦٠ Devanagari ४९१३६० Bengali ৪৯১৩৬০ Tamil ௪௯௧௩௬௦ Thai ๔๙๑๓๖๐ Tibetan ༤༩༡༣༦༠ Khmer ៤៩១៣៦០ Lao ໔໙໑໓໖໐ Burmese ၄၉၁၃၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 491360, here are decompositions:

  • 3 + 491357 = 491360
  • 7 + 491353 = 491360
  • 19 + 491341 = 491360
  • 31 + 491329 = 491360
  • 61 + 491299 = 491360
  • 109 + 491251 = 491360
  • 193 + 491167 = 491360
  • 211 + 491149 = 491360

Showing the first eight; more decompositions exist.

Hex color
#077F60
RGB(7, 127, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.127.96.

Address
0.7.127.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.127.96

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 491,360 and was likely granted around 1893.

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

Related reading

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