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472,056

472,056 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.).

472,056 (four hundred seventy-two thousand fifty-six) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 13 × 17 × 89. Its proper divisors sum to 888,744, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x733F8.

Abundant Number Evil Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
650,274
Square (n²)
222,836,867,136
Cube (n³)
105,191,480,152,751,616
Divisor count
64
σ(n) — sum of divisors
1,360,800
φ(n) — Euler's totient
135,168
Sum of prime factors
128

Primality

Prime factorization: 2 3 × 3 × 13 × 17 × 89

Nearest primes: 472,051 (−5) · 472,057 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 17 · 24 · 26 · 34 · 39 · 51 · 52 · 68 · 78 · 89 · 102 · 104 · 136 · 156 · 178 · 204 · 221 · 267 · 312 · 356 · 408 · 442 · 534 · 663 · 712 · 884 · 1068 · 1157 · 1326 · 1513 · 1768 · 2136 · 2314 · 2652 · 3026 · 3471 · 4539 · 4628 · 5304 · 6052 · 6942 · 9078 · 9256 · 12104 · 13884 · 18156 · 19669 · 27768 · 36312 · 39338 · 59007 · 78676 · 118014 · 157352 · 236028 (half) · 472056
Aliquot sum (sum of proper divisors): 888,744
Factor pairs (a × b = 472,056)
1 × 472056
2 × 236028
3 × 157352
4 × 118014
6 × 78676
8 × 59007
12 × 39338
13 × 36312
17 × 27768
24 × 19669
26 × 18156
34 × 13884
39 × 12104
51 × 9256
52 × 9078
68 × 6942
78 × 6052
89 × 5304
102 × 4628
104 × 4539
136 × 3471
156 × 3026
178 × 2652
204 × 2314
221 × 2136
267 × 1768
312 × 1513
356 × 1326
408 × 1157
442 × 1068
534 × 884
663 × 712
First multiples
472,056 · 944,112 (double) · 1,416,168 · 1,888,224 · 2,360,280 · 2,832,336 · 3,304,392 · 3,776,448 · 4,248,504 · 4,720,560

Sums & aliquot sequence

As consecutive integers: 157,351 + 157,352 + 157,353 36,306 + 36,307 + … + 36,318 29,496 + 29,497 + … + 29,511 27,760 + 27,761 + … + 27,776
Aliquot sequence: 472,056 888,744 1,451,256 2,391,384 3,750,936 7,135,464 13,252,056 20,098,584 41,347,416 71,418,984 152,840,856 283,847,784 523,957,656 787,744,104 1,581,420,696 2,372,131,104 4,834,504,416 — unresolved within range

Continued fraction of √n

√472,056 = [687; (15, 1, 3, 1, 5, 1, 2, 5, 1, 54, 8, 6, 4, 1, 4, 2, 2, 1, 1, 3, 4, 1, 1, 27, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-two thousand fifty-six
Ordinal
472056th
Binary
1110011001111111000
Octal
1631770
Hexadecimal
0x733F8
Base64
BzP4
One's complement
4,294,495,239 (32-bit)
Scientific notation
4.72056 × 10⁵
As a duration
472,056 s = 5 days, 11 hours, 7 minutes, 36 seconds
In other bases
ternary (3) 212222112120
quaternary (4) 1303033320
quinary (5) 110101211
senary (6) 14041240
septenary (7) 4004154
nonary (9) 788476
undecimal (11) 2a2732
duodecimal (12) 1a9220
tridecimal (13) 136b30
tetradecimal (14) c4064
pentadecimal (15) 94d06

As an angle

472,056° = 1,311 × 360° + 96°
96° ≈ 1.676 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοβνϛʹ
Chinese
四十七萬二千零五十六
Chinese (financial)
肆拾柒萬貳仟零伍拾陸
In other modern scripts
Eastern Arabic ٤٧٢٠٥٦ Devanagari ४७२०५६ Bengali ৪৭২০৫৬ Tamil ௪௭௨௦௫௬ Thai ๔๗๒๐๕๖ Tibetan ༤༧༢༠༥༦ Khmer ៤៧២០៥៦ Lao ໔໗໒໐໕໖ Burmese ၄၇၂၀၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472056, here are decompositions:

  • 5 + 472051 = 472056
  • 29 + 472027 = 472056
  • 37 + 472019 = 472056
  • 59 + 471997 = 472056
  • 97 + 471959 = 472056
  • 107 + 471949 = 472056
  • 113 + 471943 = 472056
  • 127 + 471929 = 472056

Showing the first eight; more decompositions exist.

Hex color
#0733F8
RGB(7, 51, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.51.248.

Address
0.7.51.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.51.248

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 472,056 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 472056 first appears in π at position 392,490 of the decimal expansion (the 392,490ordinal-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°.