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472,392

472,392 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.).

472,392 (four hundred seventy-two thousand three hundred ninety-two) is an even 6-digit number. It is a composite number with 44 divisors, and factors as 2³ × 3¹⁰. Its proper divisors sum to 856,203, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73548.

Abundant Number Achilles Number Frugal Number Harshad / Niven Odious Number Powerful Number Practical Number Recamán's Sequence 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
293,274
Recamán's sequence
a(137,304) = 472,392
Square (n²)
223,154,201,664
Cube (n³)
105,416,259,632,460,288
Divisor count
44
σ(n) — sum of divisors
1,328,595
φ(n) — Euler's totient
157,464
Sum of prime factors
36

Primality

Prime factorization: 2 3 × 3 10

Nearest primes: 472,391 (−1) · 472,393 (+1)

Divisors & multiples

All divisors (44)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 27 · 36 · 54 · 72 · 81 · 108 · 162 · 216 · 243 · 324 · 486 · 648 · 729 · 972 · 1458 · 1944 · 2187 · 2916 · 4374 · 5832 · 6561 · 8748 · 13122 · 17496 · 19683 · 26244 · 39366 · 52488 · 59049 · 78732 · 118098 · 157464 · 236196 (half) · 472392
Aliquot sum (sum of proper divisors): 856,203
Factor pairs (a × b = 472,392)
1 × 472392
2 × 236196
3 × 157464
4 × 118098
6 × 78732
8 × 59049
9 × 52488
12 × 39366
18 × 26244
24 × 19683
27 × 17496
36 × 13122
54 × 8748
72 × 6561
81 × 5832
108 × 4374
162 × 2916
216 × 2187
243 × 1944
324 × 1458
486 × 972
648 × 729
First multiples
472,392 · 944,784 (double) · 1,417,176 · 1,889,568 · 2,361,960 · 2,834,352 · 3,306,744 · 3,779,136 · 4,251,528 · 4,723,920

Sums & aliquot sequence

As a sum of two squares: 486² + 486²
As consecutive integers: 157,463 + 157,464 + 157,465 52,484 + 52,485 + … + 52,492 29,517 + 29,518 + … + 29,532 17,483 + 17,484 + … + 17,509
Aliquot sequence: 472,392 856,203 313,413 104,475 93,925 39,313 1 0 — terminates at zero

Continued fraction of √n

√472,392 = [687; (3, 4, 59, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 48, 2, 9, 1, 1, 1, 1, 2, 1, …)]

Representations

In words
four hundred seventy-two thousand three hundred ninety-two
Ordinal
472392nd
Binary
1110011010101001000
Octal
1632510
Hexadecimal
0x73548
Base64
BzVI
One's complement
4,294,494,903 (32-bit)
Scientific notation
4.72392 × 10⁵
As a duration
472,392 s = 5 days, 11 hours, 13 minutes, 12 seconds
In other bases
ternary (3) 220000000000
quaternary (4) 1303111020
quinary (5) 110104032
senary (6) 14043000
septenary (7) 4005144
nonary (9) 800000
undecimal (11) 2a2a08
duodecimal (12) 1a9460
tridecimal (13) 13702b
tetradecimal (14) c4224
pentadecimal (15) 94e7c

As an angle

472,392° = 1,312 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υοβτϟβʹ
Chinese
四十七萬二千三百九十二
Chinese (financial)
肆拾柒萬貳仟參佰玖拾貳
In other modern scripts
Eastern Arabic ٤٧٢٣٩٢ Devanagari ४७२३९२ Bengali ৪৭২৩৯২ Tamil ௪௭௨௩௯௨ Thai ๔๗๒๓๙๒ Tibetan ༤༧༢༣༩༢ Khmer ៤៧២៣៩២ Lao ໔໗໒໓໙໒ Burmese ၄၇၂၃၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472392, here are decompositions:

  • 23 + 472369 = 472392
  • 43 + 472349 = 472392
  • 59 + 472333 = 472392
  • 61 + 472331 = 472392
  • 73 + 472319 = 472392
  • 83 + 472309 = 472392
  • 103 + 472289 = 472392
  • 131 + 472261 = 472392

Showing the first eight; more decompositions exist.

Hex color
#073548
RGB(7, 53, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.72.

Address
0.7.53.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.53.72

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 472,392 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 472392 first appears in π at position 308,682 of the decimal expansion (the 308,682ordinal-suffix:nd 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°.