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476,960

476,960 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.).

476,960 (four hundred seventy-six thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 11 × 271. Its proper divisors sum to 756,832, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74720.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
32
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
69,674
Square (n²)
227,490,841,600
Cube (n³)
108,504,031,809,536,000
Divisor count
48
σ(n) — sum of divisors
1,233,792
φ(n) — Euler's totient
172,800
Sum of prime factors
297

Primality

Prime factorization: 2 5 × 5 × 11 × 271

Nearest primes: 476,929 (−31) · 476,977 (+17)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 32 · 40 · 44 · 55 · 80 · 88 · 110 · 160 · 176 · 220 · 271 · 352 · 440 · 542 · 880 · 1084 · 1355 · 1760 · 2168 · 2710 · 2981 · 4336 · 5420 · 5962 · 8672 · 10840 · 11924 · 14905 · 21680 · 23848 · 29810 · 43360 · 47696 · 59620 · 95392 · 119240 · 238480 (half) · 476960
Aliquot sum (sum of proper divisors): 756,832
Factor pairs (a × b = 476,960)
1 × 476960
2 × 238480
4 × 119240
5 × 95392
8 × 59620
10 × 47696
11 × 43360
16 × 29810
20 × 23848
22 × 21680
32 × 14905
40 × 11924
44 × 10840
55 × 8672
80 × 5962
88 × 5420
110 × 4336
160 × 2981
176 × 2710
220 × 2168
271 × 1760
352 × 1355
440 × 1084
542 × 880
First multiples
476,960 · 953,920 (double) · 1,430,880 · 1,907,840 · 2,384,800 · 2,861,760 · 3,338,720 · 3,815,680 · 4,292,640 · 4,769,600

Sums & aliquot sequence

As consecutive integers: 95,390 + 95,391 + 95,392 + 95,393 + 95,394 43,355 + 43,356 + … + 43,365 8,645 + 8,646 + … + 8,699 7,421 + 7,422 + … + 7,484
Aliquot sequence: 476,960 756,832 759,704 827,896 734,504 642,706 326,558 170,794 105,146 60,934 30,470 29,578 16,790 15,178 7,592 7,948 5,968 — unresolved within range

Continued fraction of √n

√476,960 = [690; (1, 1, 1, 1, 1, 6, 1, 5, 3, 2, 1, 3, 5, 1, 1, 27, 1, 1, 1, 4, 1, 1, 4, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-six thousand nine hundred sixty
Ordinal
476960th
Binary
1110100011100100000
Octal
1643440
Hexadecimal
0x74720
Base64
B0cg
One's complement
4,294,490,335 (32-bit)
Scientific notation
4.7696 × 10⁵
As a duration
476,960 s = 5 days, 12 hours, 29 minutes, 20 seconds
In other bases
ternary (3) 220020021012
quaternary (4) 1310130200
quinary (5) 110230320
senary (6) 14120052
septenary (7) 4024361
nonary (9) 806235
undecimal (11) 2a6390
duodecimal (12) 1b0028
tridecimal (13) 139133
tetradecimal (14) c5b68
pentadecimal (15) 964c5

As an angle

476,960° = 1,324 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υοϛϡξʹ
Chinese
四十七萬六千九百六十
Chinese (financial)
肆拾柒萬陸仟玖佰陸拾
In other modern scripts
Eastern Arabic ٤٧٦٩٦٠ Devanagari ४७६९६० Bengali ৪৭৬৯৬০ Tamil ௪௭௬௯௬௦ Thai ๔๗๖๙๖๐ Tibetan ༤༧༦༩༦༠ Khmer ៤៧៦៩៦០ Lao ໔໗໖໙໖໐ Burmese ၄၇၆၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 476960, here are decompositions:

  • 31 + 476929 = 476960
  • 73 + 476887 = 476960
  • 97 + 476863 = 476960
  • 109 + 476851 = 476960
  • 157 + 476803 = 476960
  • 223 + 476737 = 476960
  • 241 + 476719 = 476960
  • 277 + 476683 = 476960

Showing the first eight; more decompositions exist.

Hex color
#074720
RGB(7, 71, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.71.32.

Address
0.7.71.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.71.32

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 476,960 and was likely granted around 1892.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 476960 first appears in π at position 854,225 of the decimal expansion (the 854,225ordinal-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°.