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491,480

491,480 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.).

491,480 (four hundred ninety-one thousand four hundred eighty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 11 × 1,117. Its proper divisors sum to 715,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77FD8.

Abundant Number Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
84,194
Square (n²)
241,552,590,400
Cube (n³)
118,718,267,129,792,000
Divisor count
32
σ(n) — sum of divisors
1,207,440
φ(n) — Euler's totient
178,560
Sum of prime factors
1,139

Primality

Prime factorization: 2 3 × 5 × 11 × 1117

Nearest primes: 491,461 (−19) · 491,483 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 20 · 22 · 40 · 44 · 55 · 88 · 110 · 220 · 440 · 1117 · 2234 · 4468 · 5585 · 8936 · 11170 · 12287 · 22340 · 24574 · 44680 · 49148 · 61435 · 98296 · 122870 · 245740 (half) · 491480
Aliquot sum (sum of proper divisors): 715,960
Factor pairs (a × b = 491,480)
1 × 491480
2 × 245740
4 × 122870
5 × 98296
8 × 61435
10 × 49148
11 × 44680
20 × 24574
22 × 22340
40 × 12287
44 × 11170
55 × 8936
88 × 5585
110 × 4468
220 × 2234
440 × 1117
First multiples
491,480 · 982,960 (double) · 1,474,440 · 1,965,920 · 2,457,400 · 2,948,880 · 3,440,360 · 3,931,840 · 4,423,320 · 4,914,800

Sums & aliquot sequence

As consecutive integers: 98,294 + 98,295 + 98,296 + 98,297 + 98,298 44,675 + 44,676 + … + 44,685 30,710 + 30,711 + … + 30,725 8,909 + 8,910 + … + 8,963
Aliquot sequence: 491,480 715,960 1,125,800 1,699,540 1,869,536 1,912,984 1,856,936 1,624,834 932,606 466,306 240,014 128,914 69,086 34,546 19,598 10,642 6,314 — unresolved within range

Continued fraction of √n

√491,480 = [701; (17, 1, 2, 1, 24, 1, 2, 1, 17, 1402)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-one thousand four hundred eighty
Ordinal
491480th
Binary
1110111111111011000
Octal
1677730
Hexadecimal
0x77FD8
Base64
B3/Y
One's complement
4,294,475,815 (32-bit)
Scientific notation
4.9148 × 10⁵
As a duration
491,480 s = 5 days, 16 hours, 31 minutes, 20 seconds
In other bases
ternary (3) 220222011222
quaternary (4) 1313333120
quinary (5) 111211410
senary (6) 14311212
septenary (7) 4114613
nonary (9) 828158
undecimal (11) 306290
duodecimal (12) 1b8508
tridecimal (13) 142922
tetradecimal (14) cb17a
pentadecimal (15) 9a955

As an angle

491,480° = 1,365 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υϟαυπʹ
Chinese
四十九萬一千四百八十
Chinese (financial)
肆拾玖萬壹仟肆佰捌拾
In other modern scripts
Eastern Arabic ٤٩١٤٨٠ Devanagari ४९१४८० Bengali ৪৯১৪৮০ Tamil ௪௯௧௪௮௦ Thai ๔๙๑๔๘๐ Tibetan ༤༩༡༤༨༠ Khmer ៤៩១៤៨០ Lao ໔໙໑໔໘໐ Burmese ၄၉၁၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 491480, here are decompositions:

  • 19 + 491461 = 491480
  • 103 + 491377 = 491480
  • 109 + 491371 = 491480
  • 127 + 491353 = 491480
  • 139 + 491341 = 491480
  • 151 + 491329 = 491480
  • 181 + 491299 = 491480
  • 229 + 491251 = 491480

Showing the first eight; more decompositions exist.

Hex color
#077FD8
RGB(7, 127, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.127.216.

Address
0.7.127.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.127.216

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 491,480 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 491480 first appears in π at position 412,951 of the decimal expansion (the 412,951ordinal-suffix:st 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°.