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479,808

479,808 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.).

479,808 (four hundred seventy-nine thousand eight hundred eight) is an even 6-digit number. It is a composite number with 126 divisors, and factors as 2⁶ × 3² × 7² × 17. Its proper divisors sum to 1,214,118, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x75240.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
808,974
Square (n²)
230,215,716,864
Cube (n³)
110,459,342,677,082,112
Divisor count
126
σ(n) — sum of divisors
1,693,926
φ(n) — Euler's totient
129,024
Sum of prime factors
49

Primality

Prime factorization: 2 6 × 3 2 × 7 2 × 17

Nearest primes: 479,797 (−11) · 479,813 (+5)

Divisors & multiples

All divisors (126)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 17 · 18 · 21 · 24 · 28 · 32 · 34 · 36 · 42 · 48 · 49 · 51 · 56 · 63 · 64 · 68 · 72 · 84 · 96 · 98 · 102 · 112 · 119 · 126 · 136 · 144 · 147 · 153 · 168 · 192 · 196 · 204 · 224 · 238 · 252 · 272 · 288 · 294 · 306 · 336 · 357 · 392 · 408 · 441 · 448 · 476 · 504 · 544 · 576 · 588 · 612 · 672 · 714 · 784 · 816 · 833 · 882 · 952 · 1008 · 1071 · 1088 · 1176 · 1224 · 1344 · 1428 · 1568 · 1632 · 1666 · 1764 · 1904 · 2016 · 2142 · 2352 · 2448 · 2499 · 2856 · 3136 · 3264 · 3332 · 3528 · 3808 · 4032 · 4284 · 4704 · 4896 · 4998 · 5712 · 6664 · 7056 · 7497 · 7616 · 8568 · 9408 · 9792 · 9996 · 11424 · 13328 · 14112 · 14994 · 17136 · 19992 · 22848 · 26656 · 28224 · 29988 · 34272 · 39984 · 53312 · 59976 · 68544 · 79968 · 119952 · 159936 · 239904 (half) · 479808
Aliquot sum (sum of proper divisors): 1,214,118
Factor pairs (a × b = 479,808)
1 × 479808
2 × 239904
3 × 159936
4 × 119952
6 × 79968
7 × 68544
8 × 59976
9 × 53312
12 × 39984
14 × 34272
16 × 29988
17 × 28224
18 × 26656
21 × 22848
24 × 19992
28 × 17136
32 × 14994
34 × 14112
36 × 13328
42 × 11424
48 × 9996
49 × 9792
51 × 9408
56 × 8568
63 × 7616
64 × 7497
68 × 7056
72 × 6664
84 × 5712
96 × 4998
98 × 4896
102 × 4704
112 × 4284
119 × 4032
126 × 3808
136 × 3528
144 × 3332
147 × 3264
153 × 3136
168 × 2856
192 × 2499
196 × 2448
204 × 2352
224 × 2142
238 × 2016
252 × 1904
272 × 1764
288 × 1666
294 × 1632
306 × 1568
336 × 1428
357 × 1344
392 × 1224
408 × 1176
441 × 1088
448 × 1071
476 × 1008
504 × 952
544 × 882
576 × 833
588 × 816
612 × 784
672 × 714
First multiples
479,808 · 959,616 (double) · 1,439,424 · 1,919,232 · 2,399,040 · 2,878,848 · 3,358,656 · 3,838,464 · 4,318,272 · 4,798,080

Sums & aliquot sequence

As a sum of two squares: 168² + 672²
As consecutive integers: 159,935 + 159,936 + 159,937 68,541 + 68,542 + … + 68,547 53,308 + 53,309 + … + 53,316 28,216 + 28,217 + … + 28,232
Aliquot sequence: 479,808 1,214,118 1,489,050 2,617,830 4,963,770 9,787,590 15,660,378 21,169,350 37,661,334 37,725,738 38,001,462 39,136,650 71,790,774 91,657,290 128,936,886 154,690,122 154,690,134 — unresolved within range

Continued fraction of √n

√479,808 = [692; (1, 2, 7, 28, 7, 2, 1, 1384)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-nine thousand eight hundred eight
Ordinal
479808th
Binary
1110101001001000000
Octal
1651100
Hexadecimal
0x75240
Base64
B1JA
One's complement
4,294,487,487 (32-bit)
Scientific notation
4.79808 × 10⁵
As a duration
479,808 s = 5 days, 13 hours, 16 minutes, 48 seconds
In other bases
ternary (3) 220101011200
quaternary (4) 1311021000
quinary (5) 110323213
senary (6) 14141200
septenary (7) 4035600
nonary (9) 811150
undecimal (11) 2a853a
duodecimal (12) 1b1800
tridecimal (13) 13a514
tetradecimal (14) c6c00
pentadecimal (15) 97273

As an angle

479,808° = 1,332 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοθωηʹ
Chinese
四十七萬九千八百零八
Chinese (financial)
肆拾柒萬玖仟捌佰零捌
In other modern scripts
Eastern Arabic ٤٧٩٨٠٨ Devanagari ४७९८०८ Bengali ৪৭৯৮০৮ Tamil ௪௭௯௮௦௮ Thai ๔๗๙๘๐๘ Tibetan ༤༧༩༨༠༨ Khmer ៤៧៩៨០៨ Lao ໔໗໙໘໐໘ Burmese ၄၇၉၈၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 479808, here are decompositions:

  • 11 + 479797 = 479808
  • 31 + 479777 = 479808
  • 37 + 479771 = 479808
  • 47 + 479761 = 479808
  • 59 + 479749 = 479808
  • 107 + 479701 = 479808
  • 179 + 479629 = 479808
  • 227 + 479581 = 479808

Showing the first eight; more decompositions exist.

Hex color
#075240
RGB(7, 82, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.82.64.

Address
0.7.82.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.82.64

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 479,808 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 479808 first appears in π at position 990,644 of the decimal expansion (the 990,644ordinal-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°.