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472,992

472,992 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.).

472,992 (four hundred seventy-two thousand nine hundred ninety-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 13 × 379. Its proper divisors sum to 867,648, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x737A0.

Abundant Number Arithmetic Number Evil Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
9,072
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
299,274
Square (n²)
223,721,432,064
Cube (n³)
105,818,447,594,815,488
Divisor count
48
σ(n) — sum of divisors
1,340,640
φ(n) — Euler's totient
145,152
Sum of prime factors
405

Primality

Prime factorization: 2 5 × 3 × 13 × 379

Nearest primes: 472,963 (−29) · 472,993 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 16 · 24 · 26 · 32 · 39 · 48 · 52 · 78 · 96 · 104 · 156 · 208 · 312 · 379 · 416 · 624 · 758 · 1137 · 1248 · 1516 · 2274 · 3032 · 4548 · 4927 · 6064 · 9096 · 9854 · 12128 · 14781 · 18192 · 19708 · 29562 · 36384 · 39416 · 59124 · 78832 · 118248 · 157664 · 236496 (half) · 472992
Aliquot sum (sum of proper divisors): 867,648
Factor pairs (a × b = 472,992)
1 × 472992
2 × 236496
3 × 157664
4 × 118248
6 × 78832
8 × 59124
12 × 39416
13 × 36384
16 × 29562
24 × 19708
26 × 18192
32 × 14781
39 × 12128
48 × 9854
52 × 9096
78 × 6064
96 × 4927
104 × 4548
156 × 3032
208 × 2274
312 × 1516
379 × 1248
416 × 1137
624 × 758
First multiples
472,992 · 945,984 (double) · 1,418,976 · 1,891,968 · 2,364,960 · 2,837,952 · 3,310,944 · 3,783,936 · 4,256,928 · 4,729,920

Sums & aliquot sequence

As consecutive integers: 157,663 + 157,664 + 157,665 36,378 + 36,379 + … + 36,390 12,109 + 12,110 + … + 12,147 7,359 + 7,360 + … + 7,422
Aliquot sequence: 472,992 867,648 1,428,512 1,383,934 720,626 419,854 209,930 222,070 186,170 148,954 106,574 65,626 48,134 25,954 15,086 8,794 4,400 — unresolved within range

Continued fraction of √n

√472,992 = [687; (1, 2, 1, 9, 1, 10, 2, 5, 1, 6, 5, 1, 4, 4, 1, 1, 4, 4, 5, 1, 2, 1, 1, 5, …)]

Representations

In words
four hundred seventy-two thousand nine hundred ninety-two
Ordinal
472992nd
Binary
1110011011110100000
Octal
1633640
Hexadecimal
0x737A0
Base64
Bzeg
One's complement
4,294,494,303 (32-bit)
Scientific notation
4.72992 × 10⁵
As a duration
472,992 s = 5 days, 11 hours, 23 minutes, 12 seconds
In other bases
ternary (3) 220000211020
quaternary (4) 1303132200
quinary (5) 110113432
senary (6) 14045440
septenary (7) 4006662
nonary (9) 800736
undecimal (11) 2a3403
duodecimal (12) 1a9880
tridecimal (13) 1373a0
tetradecimal (14) c4532
pentadecimal (15) 9522c

As an angle

472,992° = 1,313 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υοβϡϟβʹ
Chinese
四十七萬二千九百九十二
Chinese (financial)
肆拾柒萬貳仟玖佰玖拾貳
In other modern scripts
Eastern Arabic ٤٧٢٩٩٢ Devanagari ४७२९९२ Bengali ৪৭২৯৯২ Tamil ௪௭௨௯௯௨ Thai ๔๗๒๙๙๒ Tibetan ༤༧༢༩༩༢ Khmer ៤៧២៩៩២ Lao ໔໗໒໙໙໒ Burmese ၄၇၂၉၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472992, here are decompositions:

  • 29 + 472963 = 472992
  • 53 + 472939 = 472992
  • 71 + 472921 = 472992
  • 83 + 472909 = 472992
  • 109 + 472883 = 472992
  • 193 + 472799 = 472992
  • 199 + 472793 = 472992
  • 229 + 472763 = 472992

Showing the first eight; more decompositions exist.

Hex color
#0737A0
RGB(7, 55, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.55.160.

Address
0.7.55.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.55.160

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 472,992 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 472992 first appears in π at position 800,566 of the decimal expansion (the 800,566ordinal-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°.