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481,520

481,520 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.).

481,520 (four hundred eighty-one thousand five hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 13 × 463. Its proper divisors sum to 726,736, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x758F0.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
25,184
Square (n²)
231,861,510,400
Cube (n³)
111,645,954,487,808,000
Divisor count
40
σ(n) — sum of divisors
1,208,256
φ(n) — Euler's totient
177,408
Sum of prime factors
489

Primality

Prime factorization: 2 4 × 5 × 13 × 463

Nearest primes: 481,513 (−7) · 481,531 (+11)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 26 · 40 · 52 · 65 · 80 · 104 · 130 · 208 · 260 · 463 · 520 · 926 · 1040 · 1852 · 2315 · 3704 · 4630 · 6019 · 7408 · 9260 · 12038 · 18520 · 24076 · 30095 · 37040 · 48152 · 60190 · 96304 · 120380 · 240760 (half) · 481520
Aliquot sum (sum of proper divisors): 726,736
Factor pairs (a × b = 481,520)
1 × 481520
2 × 240760
4 × 120380
5 × 96304
8 × 60190
10 × 48152
13 × 37040
16 × 30095
20 × 24076
26 × 18520
40 × 12038
52 × 9260
65 × 7408
80 × 6019
104 × 4630
130 × 3704
208 × 2315
260 × 1852
463 × 1040
520 × 926
First multiples
481,520 · 963,040 (double) · 1,444,560 · 1,926,080 · 2,407,600 · 2,889,120 · 3,370,640 · 3,852,160 · 4,333,680 · 4,815,200

Sums & aliquot sequence

As consecutive integers: 96,302 + 96,303 + 96,304 + 96,305 + 96,306 37,034 + 37,035 + … + 37,046 15,032 + 15,033 + … + 15,063 7,376 + 7,377 + … + 7,440
Aliquot sequence: 481,520 726,736 709,556 540,364 491,324 376,900 441,190 352,970 296,758 283,850 320,278 228,794 117,286 73,766 64,474 32,240 51,088 — unresolved within range

Continued fraction of √n

√481,520 = [693; (1, 10, 1, 27, 2, 2, 5, 1, 3, 1, 6, 5, 1, 1, 5, 1, 1, 1, 6, 1, 1, 1, 1, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
four hundred eighty-one thousand five hundred twenty
Ordinal
481520th
Binary
1110101100011110000
Octal
1654360
Hexadecimal
0x758F0
Base64
B1jw
One's complement
4,294,485,775 (32-bit)
Scientific notation
4.8152 × 10⁵
As a duration
481,520 s = 5 days, 13 hours, 45 minutes, 20 seconds
In other bases
ternary (3) 220110112002
quaternary (4) 1311203300
quinary (5) 110402040
senary (6) 14153132
septenary (7) 4043564
nonary (9) 813462
undecimal (11) 2a9856
duodecimal (12) 1b27a8
tridecimal (13) 13b230
tetradecimal (14) c76a4
pentadecimal (15) 97a15

As an angle

481,520° = 1,337 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵υπαφκʹ
Chinese
四十八萬一千五百二十
Chinese (financial)
肆拾捌萬壹仟伍佰貳拾
In other modern scripts
Eastern Arabic ٤٨١٥٢٠ Devanagari ४८१५२० Bengali ৪৮১৫২০ Tamil ௪௮௧௫௨௦ Thai ๔๘๑๕๒๐ Tibetan ༤༨༡༥༢༠ Khmer ៤៨១៥២០ Lao ໔໘໑໕໒໐ Burmese ၄၈၁၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 481520, here are decompositions:

  • 7 + 481513 = 481520
  • 19 + 481501 = 481520
  • 31 + 481489 = 481520
  • 73 + 481447 = 481520
  • 103 + 481417 = 481520
  • 157 + 481363 = 481520
  • 223 + 481297 = 481520
  • 271 + 481249 = 481520

Showing the first eight; more decompositions exist.

Hex color
#0758F0
RGB(7, 88, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.88.240.

Address
0.7.88.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.88.240

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 481,520 and was likely granted around 1892.

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

Position in π

The digit sequence 481520 first appears in π at position 228,732 of the decimal expansion (the 228,732ordinal-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°.