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520,008

520,008 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.).

520,008 (five hundred twenty thousand eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 47 × 461. Its proper divisors sum to 810,552, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7EF48.

Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
800,025
Square (n²)
270,408,320,064
Cube (n³)
140,614,489,699,840,512
Divisor count
32
σ(n) — sum of divisors
1,330,560
φ(n) — Euler's totient
169,280
Sum of prime factors
517

Primality

Prime factorization: 2 3 × 3 × 47 × 461

Nearest primes: 519,997 (−11) · 520,019 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 47 · 94 · 141 · 188 · 282 · 376 · 461 · 564 · 922 · 1128 · 1383 · 1844 · 2766 · 3688 · 5532 · 11064 · 21667 · 43334 · 65001 · 86668 · 130002 · 173336 · 260004 (half) · 520008
Aliquot sum (sum of proper divisors): 810,552
Factor pairs (a × b = 520,008)
1 × 520008
2 × 260004
3 × 173336
4 × 130002
6 × 86668
8 × 65001
12 × 43334
24 × 21667
47 × 11064
94 × 5532
141 × 3688
188 × 2766
282 × 1844
376 × 1383
461 × 1128
564 × 922
First multiples
520,008 · 1,040,016 (double) · 1,560,024 · 2,080,032 · 2,600,040 · 3,120,048 · 3,640,056 · 4,160,064 · 4,680,072 · 5,200,080

Sums & aliquot sequence

As consecutive integers: 173,335 + 173,336 + 173,337 32,493 + 32,494 + … + 32,508 11,041 + 11,042 + … + 11,087 10,810 + 10,811 + … + 10,857
Aliquot sequence: 520,008 810,552 1,215,888 1,977,360 5,736,432 10,825,008 17,409,792 28,927,688 25,311,742 15,104,018 7,715,422 6,164,738 3,407,902 1,768,898 890,494 653,042 401,914 — unresolved within range

Continued fraction of √n

√520,008 = [721; (8, 1, 1, 1, 2, 1, 8, 14, 1, 3, 16, 3, 10, 1, 1, 2, 62, 3, 4, 3, 3, 1, 2, 2, …)]

Representations

In words
five hundred twenty thousand eight
Ordinal
520008th
Binary
1111110111101001000
Octal
1767510
Hexadecimal
0x7EF48
Base64
B+9I
One's complement
4,294,447,287 (32-bit)
Scientific notation
5.20008 × 10⁵
As a duration
520,008 s = 6 days, 26 minutes, 48 seconds
In other bases
ternary (3) 222102022120
quaternary (4) 1332331020
quinary (5) 113120013
senary (6) 15051240
septenary (7) 4264026
nonary (9) 872276
undecimal (11) 325765
duodecimal (12) 210b20
tridecimal (13) 1528c8
tetradecimal (14) d7716
pentadecimal (15) a4123

As an angle

520,008° = 1,444 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φκηʹ
Chinese
五十二萬零八
Chinese (financial)
伍拾貳萬零捌
In other modern scripts
Eastern Arabic ٥٢٠٠٠٨ Devanagari ५२०००८ Bengali ৫২০০০৮ Tamil ௫௨௦௦௦௮ Thai ๕๒๐๐๐๘ Tibetan ༥༢༠༠༠༨ Khmer ៥២០០០៨ Lao ໕໒໐໐໐໘ Burmese ၅၂၀၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520008, here are decompositions:

  • 11 + 519997 = 520008
  • 19 + 519989 = 520008
  • 37 + 519971 = 520008
  • 61 + 519947 = 520008
  • 89 + 519919 = 520008
  • 101 + 519907 = 520008
  • 127 + 519881 = 520008
  • 191 + 519817 = 520008

Showing the first eight; more decompositions exist.

Hex color
#07EF48
RGB(7, 239, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.239.72.

Address
0.7.239.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.239.72

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 520,008 and was likely granted around 1894.

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

Position in π

The digit sequence 520008 first appears in π at position 651,688 of the decimal expansion (the 651,688ordinal-suffix:th 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°.