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491,640

491,640 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.).

491,640 (four hundred ninety-one thousand six hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 17 × 241. Its proper divisors sum to 1,076,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x78078.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
46,194
Square (n²)
241,709,889,600
Cube (n³)
118,834,250,122,944,000
Divisor count
64
σ(n) — sum of divisors
1,568,160
φ(n) — Euler's totient
122,880
Sum of prime factors
272

Primality

Prime factorization: 2 3 × 3 × 5 × 17 × 241

Nearest primes: 491,639 (−1) · 491,651 (+11)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 17 · 20 · 24 · 30 · 34 · 40 · 51 · 60 · 68 · 85 · 102 · 120 · 136 · 170 · 204 · 241 · 255 · 340 · 408 · 482 · 510 · 680 · 723 · 964 · 1020 · 1205 · 1446 · 1928 · 2040 · 2410 · 2892 · 3615 · 4097 · 4820 · 5784 · 7230 · 8194 · 9640 · 12291 · 14460 · 16388 · 20485 · 24582 · 28920 · 32776 · 40970 · 49164 · 61455 · 81940 · 98328 · 122910 · 163880 · 245820 (half) · 491640
Aliquot sum (sum of proper divisors): 1,076,520
Factor pairs (a × b = 491,640)
1 × 491640
2 × 245820
3 × 163880
4 × 122910
5 × 98328
6 × 81940
8 × 61455
10 × 49164
12 × 40970
15 × 32776
17 × 28920
20 × 24582
24 × 20485
30 × 16388
34 × 14460
40 × 12291
51 × 9640
60 × 8194
68 × 7230
85 × 5784
102 × 4820
120 × 4097
136 × 3615
170 × 2892
204 × 2410
241 × 2040
255 × 1928
340 × 1446
408 × 1205
482 × 1020
510 × 964
680 × 723
First multiples
491,640 · 983,280 (double) · 1,474,920 · 1,966,560 · 2,458,200 · 2,949,840 · 3,441,480 · 3,933,120 · 4,424,760 · 4,916,400

Sums & aliquot sequence

As consecutive integers: 163,879 + 163,880 + 163,881 98,326 + 98,327 + 98,328 + 98,329 + 98,330 32,769 + 32,770 + … + 32,783 30,720 + 30,721 + … + 30,735
Aliquot sequence: 491,640 1,076,520 2,153,400 4,773,240 10,740,960 25,917,480 58,315,500 125,664,660 290,177,676 443,327,096 410,650,504 498,708,056 735,706,024 667,913,816 658,091,824 785,815,760 1,047,853,336 — unresolved within range

Continued fraction of √n

√491,640 = [701; (5, 1, 6, 1, 1, 28, 11, 1, 2, 1, 92, 1, 2, 1, 11, 28, 1, 1, 6, 1, 5, 1402)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-one thousand six hundred forty
Ordinal
491640th
Binary
1111000000001111000
Octal
1700170
Hexadecimal
0x78078
Base64
B4B4
One's complement
4,294,475,655 (32-bit)
Scientific notation
4.9164 × 10⁵
As a duration
491,640 s = 5 days, 16 hours, 34 minutes
In other bases
ternary (3) 220222101220
quaternary (4) 1320001320
quinary (5) 111213030
senary (6) 14312040
septenary (7) 4115232
nonary (9) 828356
undecimal (11) 306416
duodecimal (12) 1b8620
tridecimal (13) 142a16
tetradecimal (14) cb252
pentadecimal (15) 9aa10

As an angle

491,640° = 1,365 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υϟαχμʹ
Chinese
四十九萬一千六百四十
Chinese (financial)
肆拾玖萬壹仟陸佰肆拾
In other modern scripts
Eastern Arabic ٤٩١٦٤٠ Devanagari ४९१६४० Bengali ৪৯১৬৪০ Tamil ௪௯௧௬௪௦ Thai ๔๙๑๖๔๐ Tibetan ༤༩༡༦༤༠ Khmer ៤៩១៦៤០ Lao ໔໙໑໖໔໐ Burmese ၄၉၁၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 491640, here are decompositions:

  • 7 + 491633 = 491640
  • 13 + 491627 = 491640
  • 29 + 491611 = 491640
  • 47 + 491593 = 491640
  • 59 + 491581 = 491640
  • 101 + 491539 = 491640
  • 103 + 491537 = 491640
  • 109 + 491531 = 491640

Showing the first eight; more decompositions exist.

Hex color
#078078
RGB(7, 128, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.128.120.

Address
0.7.128.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.128.120

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 491,640 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°.