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475,088

475,088 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.).

475,088 (four hundred seventy-five thousand eighty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 23 × 1,291. Its proper divisors sum to 486,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73FD0.

Abundant Number Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
32
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
880,574
Square (n²)
225,708,607,744
Cube (n³)
107,231,451,035,881,472
Divisor count
20
σ(n) — sum of divisors
961,248
φ(n) — Euler's totient
227,040
Sum of prime factors
1,322

Primality

Prime factorization: 2 4 × 23 × 1291

Nearest primes: 475,081 (−7) · 475,091 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 23 · 46 · 92 · 184 · 368 · 1291 · 2582 · 5164 · 10328 · 20656 · 29693 · 59386 · 118772 · 237544 (half) · 475088
Aliquot sum (sum of proper divisors): 486,160
Factor pairs (a × b = 475,088)
1 × 475088
2 × 237544
4 × 118772
8 × 59386
16 × 29693
23 × 20656
46 × 10328
92 × 5164
184 × 2582
368 × 1291
First multiples
475,088 · 950,176 (double) · 1,425,264 · 1,900,352 · 2,375,440 · 2,850,528 · 3,325,616 · 3,800,704 · 4,275,792 · 4,750,880

Sums & aliquot sequence

As consecutive integers: 20,645 + 20,646 + … + 20,667 14,831 + 14,832 + … + 14,862 278 + 279 + … + 1,013
Aliquot sequence: 475,088 486,160 674,480 893,872 1,177,424 1,103,866 551,936 848,212 664,544 713,896 624,674 315,694 174,266 87,136 109,424 133,120 210,860 — unresolved within range

Continued fraction of √n

√475,088 = [689; (3, 1, 3, 11, 7, 1, 12, 1, 1, 33, 9, 1, 1, 1, 1, 3, 3, 3, 9, 2, 1, 25, 1, 4, …)]

Representations

In words
four hundred seventy-five thousand eighty-eight
Ordinal
475088th
Binary
1110011111111010000
Octal
1637720
Hexadecimal
0x73FD0
Base64
Bz/Q
One's complement
4,294,492,207 (32-bit)
Scientific notation
4.75088 × 10⁵
As a duration
475,088 s = 5 days, 11 hours, 58 minutes, 8 seconds
In other bases
ternary (3) 220010200212
quaternary (4) 1303333100
quinary (5) 110200323
senary (6) 14103252
septenary (7) 4016045
nonary (9) 803625
undecimal (11) 2a4a39
duodecimal (12) 1aab28
tridecimal (13) 138323
tetradecimal (14) c51cc
pentadecimal (15) 95b78

As an angle

475,088° = 1,319 × 360° + 248°
248° ≈ 4.328 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοεπηʹ
Chinese
四十七萬五千零八十八
Chinese (financial)
肆拾柒萬伍仟零捌拾捌
In other modern scripts
Eastern Arabic ٤٧٥٠٨٨ Devanagari ४७५०८८ Bengali ৪৭৫০৮৮ Tamil ௪௭௫௦௮௮ Thai ๔๗๕๐๘๘ Tibetan ༤༧༥༠༨༨ Khmer ៤៧៥០៨៨ Lao ໔໗໕໐໘໘ Burmese ၄၇၅၀၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 475088, here are decompositions:

  • 7 + 475081 = 475088
  • 37 + 475051 = 475088
  • 139 + 474949 = 475088
  • 151 + 474937 = 475088
  • 157 + 474931 = 475088
  • 181 + 474907 = 475088
  • 241 + 474847 = 475088
  • 277 + 474811 = 475088

Showing the first eight; more decompositions exist.

Hex color
#073FD0
RGB(7, 63, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.63.208.

Address
0.7.63.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.63.208

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 475,088 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 475088 first appears in π at position 495,561 of the decimal expansion (the 495,561ordinal-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°.