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472,888

472,888 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.).

472,888 (four hundred seventy-two thousand eight hundred eighty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 13 × 4,547. Its proper divisors sum to 482,192, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73738.

Abundant Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
37
Digit product
28,672
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
888,274
Square (n²)
223,623,060,544
Cube (n³)
105,748,661,854,531,072
Divisor count
16
σ(n) — sum of divisors
955,080
φ(n) — Euler's totient
218,208
Sum of prime factors
4,566

Primality

Prime factorization: 2 3 × 13 × 4547

Nearest primes: 472,883 (−5) · 472,907 (+19)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 13 · 26 · 52 · 104 · 4547 · 9094 · 18188 · 36376 · 59111 · 118222 · 236444 (half) · 472888
Aliquot sum (sum of proper divisors): 482,192
Factor pairs (a × b = 472,888)
1 × 472888
2 × 236444
4 × 118222
8 × 59111
13 × 36376
26 × 18188
52 × 9094
104 × 4547
First multiples
472,888 · 945,776 (double) · 1,418,664 · 1,891,552 · 2,364,440 · 2,837,328 · 3,310,216 · 3,783,104 · 4,255,992 · 4,728,880

Sums & aliquot sequence

As consecutive integers: 36,370 + 36,371 + … + 36,382 29,548 + 29,549 + … + 29,563 2,170 + 2,171 + … + 2,377
Aliquot sequence: 472,888 482,192 452,086 261,794 161,146 82,394 50,746 25,376 29,308 25,124 22,924 20,924 15,700 18,586 9,296 11,536 14,256 — unresolved within range

Continued fraction of √n

√472,888 = [687; (1, 2, 59, 2, 6, 2, 2, 2, 5, 6, 1, 1, 3, 1, 6, 1, 2, 1, 3, 1, 2, 7, 1, 1, …)]

Representations

In words
four hundred seventy-two thousand eight hundred eighty-eight
Ordinal
472888th
Binary
1110011011100111000
Octal
1633470
Hexadecimal
0x73738
Base64
Bzc4
One's complement
4,294,494,407 (32-bit)
Scientific notation
4.72888 × 10⁵
As a duration
472,888 s = 5 days, 11 hours, 21 minutes, 28 seconds
In other bases
ternary (3) 220000200101
quaternary (4) 1303130320
quinary (5) 110113023
senary (6) 14045144
septenary (7) 4006453
nonary (9) 800611
undecimal (11) 2a3319
duodecimal (12) 1a97b4
tridecimal (13) 137320
tetradecimal (14) c449a
pentadecimal (15) 951ad

As an angle

472,888° = 1,313 × 360° + 208°
208° ≈ 3.63 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοβωπηʹ
Chinese
四十七萬二千八百八十八
Chinese (financial)
肆拾柒萬貳仟捌佰捌拾捌
In other modern scripts
Eastern Arabic ٤٧٢٨٨٨ Devanagari ४७२८८८ Bengali ৪৭২৮৮৮ Tamil ௪௭௨௮௮௮ Thai ๔๗๒๘๘๘ Tibetan ༤༧༢༨༨༨ Khmer ៤៧២៨៨៨ Lao ໔໗໒໘໘໘ Burmese ၄၇၂၈၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472888, here are decompositions:

  • 5 + 472883 = 472888
  • 29 + 472859 = 472888
  • 41 + 472847 = 472888
  • 71 + 472817 = 472888
  • 89 + 472799 = 472888
  • 137 + 472751 = 472888
  • 167 + 472721 = 472888
  • 179 + 472709 = 472888

Showing the first eight; more decompositions exist.

Hex color
#073738
RGB(7, 55, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.55.56.

Address
0.7.55.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.55.56

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 472,888 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 472888 first appears in π at position 335,243 of the decimal expansion (the 335,243ordinal-suffix:rd 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°.