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472,932

472,932 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.).

472,932 (four hundred seventy-two thousand nine hundred thirty-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3³ × 29 × 151. Its proper divisors sum to 803,868, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73764.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
3,024
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
239,274
Square (n²)
223,664,676,624
Cube (n³)
105,778,182,845,141,568
Divisor count
48
σ(n) — sum of divisors
1,276,800
φ(n) — Euler's totient
151,200
Sum of prime factors
193

Primality

Prime factorization: 2 2 × 3 3 × 29 × 151

Nearest primes: 472,921 (−11) · 472,937 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 29 · 36 · 54 · 58 · 87 · 108 · 116 · 151 · 174 · 261 · 302 · 348 · 453 · 522 · 604 · 783 · 906 · 1044 · 1359 · 1566 · 1812 · 2718 · 3132 · 4077 · 4379 · 5436 · 8154 · 8758 · 13137 · 16308 · 17516 · 26274 · 39411 · 52548 · 78822 · 118233 · 157644 · 236466 (half) · 472932
Aliquot sum (sum of proper divisors): 803,868
Factor pairs (a × b = 472,932)
1 × 472932
2 × 236466
3 × 157644
4 × 118233
6 × 78822
9 × 52548
12 × 39411
18 × 26274
27 × 17516
29 × 16308
36 × 13137
54 × 8758
58 × 8154
87 × 5436
108 × 4379
116 × 4077
151 × 3132
174 × 2718
261 × 1812
302 × 1566
348 × 1359
453 × 1044
522 × 906
604 × 783
First multiples
472,932 · 945,864 (double) · 1,418,796 · 1,891,728 · 2,364,660 · 2,837,592 · 3,310,524 · 3,783,456 · 4,256,388 · 4,729,320

Sums & aliquot sequence

As consecutive integers: 157,643 + 157,644 + 157,645 59,113 + 59,114 + … + 59,120 52,544 + 52,545 + … + 52,552 19,694 + 19,695 + … + 19,717
Aliquot sequence: 472,932 803,868 1,216,500 2,330,316 3,711,524 2,798,476 2,116,532 1,955,662 977,834 761,398 509,978 378,022 189,014 149,674 106,934 55,114 32,474 — unresolved within range

Continued fraction of √n

√472,932 = [687; (1, 2, 2, 1, 18, 1, 2, 21, 6, 1, 1, 2, 16, 5, 1, 1, 1, 4, 1, 2, 1, 1, 1, 3, …)]

Representations

In words
four hundred seventy-two thousand nine hundred thirty-two
Ordinal
472932nd
Binary
1110011011101100100
Octal
1633544
Hexadecimal
0x73764
Base64
Bzdk
One's complement
4,294,494,363 (32-bit)
Scientific notation
4.72932 × 10⁵
As a duration
472,932 s = 5 days, 11 hours, 22 minutes, 12 seconds
In other bases
ternary (3) 220000202000
quaternary (4) 1303131210
quinary (5) 110113212
senary (6) 14045300
septenary (7) 4006545
nonary (9) 800660
undecimal (11) 2a3359
duodecimal (12) 1a9830
tridecimal (13) 137355
tetradecimal (14) c44cc
pentadecimal (15) 951dc

As an angle

472,932° = 1,313 × 360° + 252°
252° ≈ 4.398 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υοβϡλβʹ
Chinese
四十七萬二千九百三十二
Chinese (financial)
肆拾柒萬貳仟玖佰參拾貳
In other modern scripts
Eastern Arabic ٤٧٢٩٣٢ Devanagari ४७२९३२ Bengali ৪৭২৯৩২ Tamil ௪௭௨௯௩௨ Thai ๔๗๒๙๓๒ Tibetan ༤༧༢༩༣༢ Khmer ៤៧២៩៣២ Lao ໔໗໒໙໓໒ Burmese ၄၇၂၉၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472932, here are decompositions:

  • 11 + 472921 = 472932
  • 23 + 472909 = 472932
  • 73 + 472859 = 472932
  • 101 + 472831 = 472932
  • 139 + 472793 = 472932
  • 181 + 472751 = 472932
  • 191 + 472741 = 472932
  • 211 + 472721 = 472932

Showing the first eight; more decompositions exist.

Hex color
#073764
RGB(7, 55, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.55.100.

Address
0.7.55.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.55.100

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 472,932 and was likely granted around 1891.

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

Position in π

The digit sequence 472932 first appears in π at position 342,975 of the decimal expansion (the 342,975ordinal-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°.