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475,332

475,332 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.).

475,332 (four hundred seventy-five thousand three hundred thirty-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 11 × 13 × 277. Its proper divisors sum to 832,380, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x740C4.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
2,520
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
233,574
Square (n²)
225,940,510,224
Cube (n³)
107,396,754,605,794,368
Divisor count
48
σ(n) — sum of divisors
1,307,712
φ(n) — Euler's totient
132,480
Sum of prime factors
308

Primality

Prime factorization: 2 2 × 3 × 11 × 13 × 277

Nearest primes: 475,331 (−1) · 475,333 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 11 · 12 · 13 · 22 · 26 · 33 · 39 · 44 · 52 · 66 · 78 · 132 · 143 · 156 · 277 · 286 · 429 · 554 · 572 · 831 · 858 · 1108 · 1662 · 1716 · 3047 · 3324 · 3601 · 6094 · 7202 · 9141 · 10803 · 12188 · 14404 · 18282 · 21606 · 36564 · 39611 · 43212 · 79222 · 118833 · 158444 · 237666 (half) · 475332
Aliquot sum (sum of proper divisors): 832,380
Factor pairs (a × b = 475,332)
1 × 475332
2 × 237666
3 × 158444
4 × 118833
6 × 79222
11 × 43212
12 × 39611
13 × 36564
22 × 21606
26 × 18282
33 × 14404
39 × 12188
44 × 10803
52 × 9141
66 × 7202
78 × 6094
132 × 3601
143 × 3324
156 × 3047
277 × 1716
286 × 1662
429 × 1108
554 × 858
572 × 831
First multiples
475,332 · 950,664 (double) · 1,425,996 · 1,901,328 · 2,376,660 · 2,851,992 · 3,327,324 · 3,802,656 · 4,277,988 · 4,753,320

Sums & aliquot sequence

As consecutive integers: 158,443 + 158,444 + 158,445 59,413 + 59,414 + … + 59,420 43,207 + 43,208 + … + 43,217 36,558 + 36,559 + … + 36,570
Aliquot sequence: 475,332 832,380 1,498,452 2,021,484 2,695,340 3,443,380 3,787,760 5,117,920 7,401,440 10,252,672 10,335,008 10,012,102 5,022,074 2,584,486 1,292,246 721,738 360,872 — unresolved within range

Continued fraction of √n

√475,332 = [689; (2, 3, 1, 9, 1, 1, 2, 3, 1, 1, 11, 3, 10, 4, 1, 20, 1, 2, 1, 6, 2, 3, 3, 10, …)]

Representations

In words
four hundred seventy-five thousand three hundred thirty-two
Ordinal
475332nd
Binary
1110100000011000100
Octal
1640304
Hexadecimal
0x740C4
Base64
B0DE
One's complement
4,294,491,963 (32-bit)
Scientific notation
4.75332 × 10⁵
As a duration
475,332 s = 5 days, 12 hours, 2 minutes, 12 seconds
In other bases
ternary (3) 220011000220
quaternary (4) 1310003010
quinary (5) 110202312
senary (6) 14104340
septenary (7) 4016544
nonary (9) 804026
undecimal (11) 2a5140
duodecimal (12) 1ab0b0
tridecimal (13) 138480
tetradecimal (14) c5324
pentadecimal (15) 95c8c

As an angle

475,332° = 1,320 × 360° + 132°
132° ≈ 2.304 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υοετλβʹ
Chinese
四十七萬五千三百三十二
Chinese (financial)
肆拾柒萬伍仟參佰參拾貳
In other modern scripts
Eastern Arabic ٤٧٥٣٣٢ Devanagari ४७५३३२ Bengali ৪৭৫৩৩২ Tamil ௪௭௫௩௩௨ Thai ๔๗๕๓๓๒ Tibetan ༤༧༥༣༣༢ Khmer ៤៧៥៣៣២ Lao ໔໗໕໓໓໒ Burmese ၄၇၅၃၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 475332, here are decompositions:

  • 5 + 475327 = 475332
  • 31 + 475301 = 475332
  • 43 + 475289 = 475332
  • 59 + 475273 = 475332
  • 61 + 475271 = 475332
  • 89 + 475243 = 475332
  • 103 + 475229 = 475332
  • 113 + 475219 = 475332

Showing the first eight; more decompositions exist.

Hex color
#0740C4
RGB(7, 64, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.64.196.

Address
0.7.64.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.64.196

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 475,332 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 475332 first appears in π at position 222,374 of the decimal expansion (the 222,374ordinal-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°.