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479,880

479,880 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.).

479,880 (four hundred seventy-nine thousand eight hundred eighty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 5 × 31 × 43. Its proper divisors sum to 1,167,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x75288.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical 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
88,974
Square (n²)
230,284,814,400
Cube (n³)
110,509,076,734,272,000
Divisor count
96
σ(n) — sum of divisors
1,647,360
φ(n) — Euler's totient
120,960
Sum of prime factors
91

Primality

Prime factorization: 2 3 × 3 2 × 5 × 31 × 43

Nearest primes: 479,879 (−1) · 479,881 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 30 · 31 · 36 · 40 · 43 · 45 · 60 · 62 · 72 · 86 · 90 · 93 · 120 · 124 · 129 · 155 · 172 · 180 · 186 · 215 · 248 · 258 · 279 · 310 · 344 · 360 · 372 · 387 · 430 · 465 · 516 · 558 · 620 · 645 · 744 · 774 · 860 · 930 · 1032 · 1116 · 1240 · 1290 · 1333 · 1395 · 1548 · 1720 · 1860 · 1935 · 2232 · 2580 · 2666 · 2790 · 3096 · 3720 · 3870 · 3999 · 5160 · 5332 · 5580 · 6665 · 7740 · 7998 · 10664 · 11160 · 11997 · 13330 · 15480 · 15996 · 19995 · 23994 · 26660 · 31992 · 39990 · 47988 · 53320 · 59985 · 79980 · 95976 · 119970 · 159960 · 239940 (half) · 479880
Aliquot sum (sum of proper divisors): 1,167,480
Factor pairs (a × b = 479,880)
1 × 479880
2 × 239940
3 × 159960
4 × 119970
5 × 95976
6 × 79980
8 × 59985
9 × 53320
10 × 47988
12 × 39990
15 × 31992
18 × 26660
20 × 23994
24 × 19995
30 × 15996
31 × 15480
36 × 13330
40 × 11997
43 × 11160
45 × 10664
60 × 7998
62 × 7740
72 × 6665
86 × 5580
90 × 5332
93 × 5160
120 × 3999
124 × 3870
129 × 3720
155 × 3096
172 × 2790
180 × 2666
186 × 2580
215 × 2232
248 × 1935
258 × 1860
279 × 1720
310 × 1548
344 × 1395
360 × 1333
372 × 1290
387 × 1240
430 × 1116
465 × 1032
516 × 930
558 × 860
620 × 774
645 × 744
First multiples
479,880 · 959,760 (double) · 1,439,640 · 1,919,520 · 2,399,400 · 2,879,280 · 3,359,160 · 3,839,040 · 4,318,920 · 4,798,800

Sums & aliquot sequence

As consecutive integers: 159,959 + 159,960 + 159,961 95,974 + 95,975 + 95,976 + 95,977 + 95,978 53,316 + 53,317 + … + 53,324 31,985 + 31,986 + … + 31,999
Aliquot sequence: 479,880 1,167,480 2,979,720 7,388,280 17,242,920 39,310,200 92,712,600 238,125,600 601,590,186 835,189,974 1,218,779,946 1,689,085,278 2,064,437,682 2,152,286,670 3,152,811,858 4,264,565,934 4,271,611,938 — unresolved within range

Continued fraction of √n

√479,880 = [692; (1, 2, 1, 3, 11, 2, 1, 1, 1, 16, 2, 10, 1, 27, 2, 1, 3, 4, 1, 1, 11, 11, 11, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-nine thousand eight hundred eighty
Ordinal
479880th
Binary
1110101001010001000
Octal
1651210
Hexadecimal
0x75288
Base64
B1KI
One's complement
4,294,487,415 (32-bit)
Scientific notation
4.7988 × 10⁵
As a duration
479,880 s = 5 days, 13 hours, 18 minutes
In other bases
ternary (3) 220101021100
quaternary (4) 1311022020
quinary (5) 110324010
senary (6) 14141400
septenary (7) 4036032
nonary (9) 811240
undecimal (11) 2a85a5
duodecimal (12) 1b1860
tridecimal (13) 13a56b
tetradecimal (14) c6c52
pentadecimal (15) 972c0

As an angle

479,880° = 1,333 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υοθωπʹ
Chinese
四十七萬九千八百八十
Chinese (financial)
肆拾柒萬玖仟捌佰捌拾
In other modern scripts
Eastern Arabic ٤٧٩٨٨٠ Devanagari ४७९८८० Bengali ৪৭৯৮৮০ Tamil ௪௭௯௮௮௦ Thai ๔๗๙๘๘๐ Tibetan ༤༧༩༨༨༠ Khmer ៤៧៩៨៨០ Lao ໔໗໙໘໘໐ Burmese ၄၇၉၈၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 479880, here are decompositions:

  • 19 + 479861 = 479880
  • 41 + 479839 = 479880
  • 47 + 479833 = 479880
  • 59 + 479821 = 479880
  • 67 + 479813 = 479880
  • 83 + 479797 = 479880
  • 97 + 479783 = 479880
  • 103 + 479777 = 479880

Showing the first eight; more decompositions exist.

Hex color
#075288
RGB(7, 82, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.82.136.

Address
0.7.82.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.82.136

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 479,880 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 479880 first appears in π at position 221,248 of the decimal expansion (the 221,248ordinal-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°.