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472,168

472,168 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.).

472,168 (four hundred seventy-two thousand one hundred sixty-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 59,021. Written other ways, in hexadecimal, 0x73468.

Deficient Number Odious Number Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
2,688
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
861,274
Square (n²)
222,942,620,224
Cube (n³)
105,266,371,105,925,632
Divisor count
8
σ(n) — sum of divisors
885,330
φ(n) — Euler's totient
236,080
Sum of prime factors
59,027

Primality

Prime factorization: 2 3 × 59021

Nearest primes: 472,163 (−5) · 472,189 (+21)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 59021 · 118042 · 236084 (half) · 472168
Aliquot sum (sum of proper divisors): 413,162
Factor pairs (a × b = 472,168)
1 × 472168
2 × 236084
4 × 118042
8 × 59021
First multiples
472,168 · 944,336 (double) · 1,416,504 · 1,888,672 · 2,360,840 · 2,833,008 · 3,305,176 · 3,777,344 · 4,249,512 · 4,721,680

Sums & aliquot sequence

As a sum of two squares: 198² + 658²
As consecutive integers: 29,503 + 29,504 + … + 29,518
Aliquot sequence: 472,168 413,162 209,434 104,720 216,688 218,552 215,608 188,672 228,304 237,936 376,856 378,364 378,420 927,948 1,546,804 1,546,860 3,614,100 — unresolved within range

Continued fraction of √n

√472,168 = [687; (6, 1, 9, 1, 1, 4, 8, 2, 2, 1, 2, 1, 1, 6, 3, 1, 5, 1, 7, 3, 21, 2, 43, 1, …)]

Representations

In words
four hundred seventy-two thousand one hundred sixty-eight
Ordinal
472168th
Binary
1110011010001101000
Octal
1632150
Hexadecimal
0x73468
Base64
BzRo
One's complement
4,294,495,127 (32-bit)
Scientific notation
4.72168 × 10⁵
As a duration
472,168 s = 5 days, 11 hours, 9 minutes, 28 seconds
In other bases
ternary (3) 212222200201
quaternary (4) 1303101220
quinary (5) 110102133
senary (6) 14041544
septenary (7) 4004404
nonary (9) 788621
undecimal (11) 2a2824
duodecimal (12) 1a92b4
tridecimal (13) 136bb8
tetradecimal (14) c4104
pentadecimal (15) 94d7d

As an angle

472,168° = 1,311 × 360° + 208°
208° ≈ 3.63 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοβρξηʹ
Chinese
四十七萬二千一百六十八
Chinese (financial)
肆拾柒萬貳仟壹佰陸拾捌
In other modern scripts
Eastern Arabic ٤٧٢١٦٨ Devanagari ४७२१६८ Bengali ৪৭২১৬৮ Tamil ௪௭௨௧௬௮ Thai ๔๗๒๑๖๘ Tibetan ༤༧༢༡༦༨ Khmer ៤៧២១៦៨ Lao ໔໗໒໑໖໘ Burmese ၄၇၂၁၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472168, here are decompositions:

  • 5 + 472163 = 472168
  • 17 + 472151 = 472168
  • 29 + 472139 = 472168
  • 41 + 472127 = 472168
  • 101 + 472067 = 472168
  • 149 + 472019 = 472168
  • 239 + 471929 = 472168
  • 419 + 471749 = 472168

Showing the first eight; more decompositions exist.

Hex color
#073468
RGB(7, 52, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.104.

Address
0.7.52.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.52.104

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 472,168 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 472168 first appears in π at position 54,614 of the decimal expansion (the 54,614ordinal-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°.