number.wiki
Live analysis

479,664

479,664 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.).

479,664 (four hundred seventy-nine thousand six hundred sixty-four) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 3² × 3,331. Its proper divisors sum to 863,132, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x751B0.

Abundant Number Harshad / Niven Odious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
36,288
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
466,974
Square (n²)
230,077,552,896
Cube (n³)
110,359,919,332,306,944
Divisor count
30
σ(n) — sum of divisors
1,342,796
φ(n) — Euler's totient
159,840
Sum of prime factors
3,345

Primality

Prime factorization: 2 4 × 3 2 × 3331

Nearest primes: 479,639 (−25) · 479,701 (+37)

Divisors & multiples

All divisors (30)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 72 · 144 · 3331 · 6662 · 9993 · 13324 · 19986 · 26648 · 29979 · 39972 · 53296 · 59958 · 79944 · 119916 · 159888 · 239832 (half) · 479664
Aliquot sum (sum of proper divisors): 863,132
Factor pairs (a × b = 479,664)
1 × 479664
2 × 239832
3 × 159888
4 × 119916
6 × 79944
8 × 59958
9 × 53296
12 × 39972
16 × 29979
18 × 26648
24 × 19986
36 × 13324
48 × 9993
72 × 6662
144 × 3331
First multiples
479,664 · 959,328 (double) · 1,438,992 · 1,918,656 · 2,398,320 · 2,877,984 · 3,357,648 · 3,837,312 · 4,316,976 · 4,796,640

Sums & aliquot sequence

As consecutive integers: 159,887 + 159,888 + 159,889 53,292 + 53,293 + … + 53,300 14,974 + 14,975 + … + 15,005 4,949 + 4,950 + … + 5,044
Aliquot sequence: 479,664 863,132 771,508 578,638 289,322 184,150 172,970 190,234 121,094 62,074 33,434 17,626 12,614 10,714 6,854 3,946 1,976 — unresolved within range

Continued fraction of √n

√479,664 = [692; (1, 1, 2, 1, 2, 2, 31, 17, 14, 1, 1, 10, 1, 13, 2, 1, 2, 1, 1, 1, 9, 18, 1, 6, …)]

Representations

In words
four hundred seventy-nine thousand six hundred sixty-four
Ordinal
479664th
Binary
1110101000110110000
Octal
1650660
Hexadecimal
0x751B0
Base64
B1Gw
One's complement
4,294,487,631 (32-bit)
Scientific notation
4.79664 × 10⁵
As a duration
479,664 s = 5 days, 13 hours, 14 minutes, 24 seconds
In other bases
ternary (3) 220100222100
quaternary (4) 1311012300
quinary (5) 110322124
senary (6) 14140400
septenary (7) 4035303
nonary (9) 810870
undecimal (11) 2a8419
duodecimal (12) 1b1700
tridecimal (13) 13a433
tetradecimal (14) c6b3a
pentadecimal (15) 971c9

As an angle

479,664° = 1,332 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοθχξδʹ
Chinese
四十七萬九千六百六十四
Chinese (financial)
肆拾柒萬玖仟陸佰陸拾肆
In other modern scripts
Eastern Arabic ٤٧٩٦٦٤ Devanagari ४७९६६४ Bengali ৪৭৯৬৬৪ Tamil ௪௭௯௬௬௪ Thai ๔๗๙๖๖๔ Tibetan ༤༧༩༦༦༤ Khmer ៤៧៩៦៦៤ Lao ໔໗໙໖໖໔ Burmese ၄၇၉၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 479664, here are decompositions:

  • 41 + 479623 = 479664
  • 71 + 479593 = 479664
  • 83 + 479581 = 479664
  • 103 + 479561 = 479664
  • 131 + 479533 = 479664
  • 151 + 479513 = 479664
  • 167 + 479497 = 479664
  • 191 + 479473 = 479664

Showing the first eight; more decompositions exist.

Hex color
#0751B0
RGB(7, 81, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.81.176.

Address
0.7.81.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.81.176

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 479,664 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 479664 first appears in π at position 570,472 of the decimal expansion (the 570,472ordinal-suffix:nd 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°.