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475,832

475,832 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.).

475,832 (four hundred seventy-five thousand eight hundred thirty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 29 × 293. Its proper divisors sum to 582,568, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x742B8.

Abundant Number Arithmetic Number Happy Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
6,720
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
238,574
Recamán's sequence
a(139,444) = 475,832
Square (n²)
226,416,092,224
Cube (n³)
107,736,021,995,130,368
Divisor count
32
σ(n) — sum of divisors
1,058,400
φ(n) — Euler's totient
196,224
Sum of prime factors
335

Primality

Prime factorization: 2 3 × 7 × 29 × 293

Nearest primes: 475,831 (−1) · 475,837 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 29 · 56 · 58 · 116 · 203 · 232 · 293 · 406 · 586 · 812 · 1172 · 1624 · 2051 · 2344 · 4102 · 8204 · 8497 · 16408 · 16994 · 33988 · 59479 · 67976 · 118958 · 237916 (half) · 475832
Aliquot sum (sum of proper divisors): 582,568
Factor pairs (a × b = 475,832)
1 × 475832
2 × 237916
4 × 118958
7 × 67976
8 × 59479
14 × 33988
28 × 16994
29 × 16408
56 × 8497
58 × 8204
116 × 4102
203 × 2344
232 × 2051
293 × 1624
406 × 1172
586 × 812
First multiples
475,832 · 951,664 (double) · 1,427,496 · 1,903,328 · 2,379,160 · 2,854,992 · 3,330,824 · 3,806,656 · 4,282,488 · 4,758,320

Sums & aliquot sequence

As consecutive integers: 67,973 + 67,974 + … + 67,979 29,732 + 29,733 + … + 29,747 16,394 + 16,395 + … + 16,422 4,193 + 4,194 + … + 4,304
Aliquot sequence: 475,832 582,568 690,392 613,408 637,772 568,804 450,060 909,396 1,389,446 726,034 363,020 508,564 535,724 616,420 1,021,076 1,021,132 1,021,188 — unresolved within range

Continued fraction of √n

√475,832 = [689; (1, 4, 6, 1, 2, 1, 2, 1, 6, 4, 1, 1378)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-five thousand eight hundred thirty-two
Ordinal
475832nd
Binary
1110100001010111000
Octal
1641270
Hexadecimal
0x742B8
Base64
B0K4
One's complement
4,294,491,463 (32-bit)
Scientific notation
4.75832 × 10⁵
As a duration
475,832 s = 5 days, 12 hours, 10 minutes, 32 seconds
In other bases
ternary (3) 220011201102
quaternary (4) 1310022320
quinary (5) 110211312
senary (6) 14110532
septenary (7) 4021160
nonary (9) 804642
undecimal (11) 2a5555
duodecimal (12) 1ab448
tridecimal (13) 138776
tetradecimal (14) c55a0
pentadecimal (15) 95ec2

As an angle

475,832° = 1,321 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υοεωλβʹ
Chinese
四十七萬五千八百三十二
Chinese (financial)
肆拾柒萬伍仟捌佰參拾貳
In other modern scripts
Eastern Arabic ٤٧٥٨٣٢ Devanagari ४७५८३२ Bengali ৪৭৫৮৩২ Tamil ௪௭௫௮௩௨ Thai ๔๗๕๘๓๒ Tibetan ༤༧༥༨༣༢ Khmer ៤៧៥៨៣២ Lao ໔໗໕໘໓໒ Burmese ၄၇၅၈၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 475832, here are decompositions:

  • 43 + 475789 = 475832
  • 73 + 475759 = 475832
  • 79 + 475753 = 475832
  • 103 + 475729 = 475832
  • 139 + 475693 = 475832
  • 151 + 475681 = 475832
  • 163 + 475669 = 475832
  • 193 + 475639 = 475832

Showing the first eight; more decompositions exist.

Hex color
#0742B8
RGB(7, 66, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.66.184.

Address
0.7.66.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.66.184

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 475,832 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 475832 first appears in π at position 245,799 of the decimal expansion (the 245,799ordinal-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°.