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479,960

479,960 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.).

479,960 (four hundred seventy-nine thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 5 × 13² × 71. Its proper divisors sum to 705,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x752D8.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
35
Digit product
0
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
69,974
Square (n²)
230,361,601,600
Cube (n³)
110,564,354,303,936,000
Divisor count
48
σ(n) — sum of divisors
1,185,840
φ(n) — Euler's totient
174,720
Sum of prime factors
108

Primality

Prime factorization: 2 3 × 5 × 13 2 × 71

Nearest primes: 479,957 (−3) · 479,971 (+11)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 8 · 10 · 13 · 20 · 26 · 40 · 52 · 65 · 71 · 104 · 130 · 142 · 169 · 260 · 284 · 338 · 355 · 520 · 568 · 676 · 710 · 845 · 923 · 1352 · 1420 · 1690 · 1846 · 2840 · 3380 · 3692 · 4615 · 6760 · 7384 · 9230 · 11999 · 18460 · 23998 · 36920 · 47996 · 59995 · 95992 · 119990 · 239980 (half) · 479960
Aliquot sum (sum of proper divisors): 705,880
Factor pairs (a × b = 479,960)
1 × 479960
2 × 239980
4 × 119990
5 × 95992
8 × 59995
10 × 47996
13 × 36920
20 × 23998
26 × 18460
40 × 11999
52 × 9230
65 × 7384
71 × 6760
104 × 4615
130 × 3692
142 × 3380
169 × 2840
260 × 1846
284 × 1690
338 × 1420
355 × 1352
520 × 923
568 × 845
676 × 710
First multiples
479,960 · 959,920 (double) · 1,439,880 · 1,919,840 · 2,399,800 · 2,879,760 · 3,359,720 · 3,839,680 · 4,319,640 · 4,799,600

Sums & aliquot sequence

As consecutive integers: 95,990 + 95,991 + 95,992 + 95,993 + 95,994 36,914 + 36,915 + … + 36,926 29,990 + 29,991 + … + 30,005 7,352 + 7,353 + … + 7,416
Aliquot sequence: 479,960 705,880 1,109,960 1,387,540 2,531,564 2,753,044 2,753,100 8,079,540 17,776,332 35,827,764 60,940,236 101,567,284 124,274,892 209,574,708 396,959,052 662,659,508 662,659,564 — unresolved within range

Continued fraction of √n

√479,960 = [692; (1, 3, 1, 3, 1, 7, 2, 2, 5, 3, 1, 1, 1, 7, 1, 1, 3, 1, 1, 1, 1, 6, 1, 7, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-nine thousand nine hundred sixty
Ordinal
479960th
Binary
1110101001011011000
Octal
1651330
Hexadecimal
0x752D8
Base64
B1LY
One's complement
4,294,487,335 (32-bit)
Scientific notation
4.7996 × 10⁵
As a duration
479,960 s = 5 days, 13 hours, 19 minutes, 20 seconds
In other bases
ternary (3) 220101101022
quaternary (4) 1311023120
quinary (5) 110324320
senary (6) 14142012
septenary (7) 4036205
nonary (9) 811338
undecimal (11) 2a8668
duodecimal (12) 1b1908
tridecimal (13) 13a600
tetradecimal (14) c6cac
pentadecimal (15) 97325
Palindromic in base 3

As an angle

479,960° = 1,333 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υοθϡξʹ
Chinese
四十七萬九千九百六十
Chinese (financial)
肆拾柒萬玖仟玖佰陸拾
In other modern scripts
Eastern Arabic ٤٧٩٩٦٠ Devanagari ४७९९६० Bengali ৪৭৯৯৬০ Tamil ௪௭௯௯௬௦ Thai ๔๗๙๙๖๐ Tibetan ༤༧༩༩༦༠ Khmer ៤៧៩៩៦០ Lao ໔໗໙໙໖໐ Burmese ၄၇၉၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 479960, here are decompositions:

  • 3 + 479957 = 479960
  • 7 + 479953 = 479960
  • 79 + 479881 = 479960
  • 127 + 479833 = 479960
  • 139 + 479821 = 479960
  • 163 + 479797 = 479960
  • 199 + 479761 = 479960
  • 211 + 479749 = 479960

Showing the first eight; more decompositions exist.

Hex color
#0752D8
RGB(7, 82, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.82.216.

Address
0.7.82.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.82.216

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 479,960 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 479960 first appears in π at position 109,059 of the decimal expansion (the 109,059ordinal-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°.