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479,640

479,640 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.).

479,640 (four hundred seventy-nine thousand six hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 7 × 571. Its proper divisors sum to 1,167,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x75198.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
46,974
Square (n²)
230,054,529,600
Cube (n³)
110,343,354,577,344,000
Divisor count
64
σ(n) — sum of divisors
1,647,360
φ(n) — Euler's totient
109,440
Sum of prime factors
592

Primality

Prime factorization: 2 3 × 3 × 5 × 7 × 571

Nearest primes: 479,639 (−1) · 479,701 (+61)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 24 · 28 · 30 · 35 · 40 · 42 · 56 · 60 · 70 · 84 · 105 · 120 · 140 · 168 · 210 · 280 · 420 · 571 · 840 · 1142 · 1713 · 2284 · 2855 · 3426 · 3997 · 4568 · 5710 · 6852 · 7994 · 8565 · 11420 · 11991 · 13704 · 15988 · 17130 · 19985 · 22840 · 23982 · 31976 · 34260 · 39970 · 47964 · 59955 · 68520 · 79940 · 95928 · 119910 · 159880 · 239820 (half) · 479640
Aliquot sum (sum of proper divisors): 1,167,720
Factor pairs (a × b = 479,640)
1 × 479640
2 × 239820
3 × 159880
4 × 119910
5 × 95928
6 × 79940
7 × 68520
8 × 59955
10 × 47964
12 × 39970
14 × 34260
15 × 31976
20 × 23982
21 × 22840
24 × 19985
28 × 17130
30 × 15988
35 × 13704
40 × 11991
42 × 11420
56 × 8565
60 × 7994
70 × 6852
84 × 5710
105 × 4568
120 × 3997
140 × 3426
168 × 2855
210 × 2284
280 × 1713
420 × 1142
571 × 840
First multiples
479,640 · 959,280 (double) · 1,438,920 · 1,918,560 · 2,398,200 · 2,877,840 · 3,357,480 · 3,837,120 · 4,316,760 · 4,796,400

Sums & aliquot sequence

As consecutive integers: 159,879 + 159,880 + 159,881 95,926 + 95,927 + 95,928 + 95,929 + 95,930 68,517 + 68,518 + … + 68,523 31,969 + 31,970 + … + 31,983
Aliquot sequence: 479,640 1,167,720 2,443,800 5,133,840 10,781,808 19,278,768 33,148,432 31,418,864 29,455,216 36,172,528 43,924,032 90,383,548 68,010,324 91,205,964 139,342,536 238,043,694 306,529,746 — unresolved within range

Continued fraction of √n

√479,640 = [692; (1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 2, 1, 2, 6, 2, 2, 1, 4, 12, 3, 1, 3, 12, 4, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-nine thousand six hundred forty
Ordinal
479640th
Binary
1110101000110011000
Octal
1650630
Hexadecimal
0x75198
Base64
B1GY
One's complement
4,294,487,655 (32-bit)
Scientific notation
4.7964 × 10⁵
As a duration
479,640 s = 5 days, 13 hours, 14 minutes
In other bases
ternary (3) 220100221110
quaternary (4) 1311012120
quinary (5) 110322030
senary (6) 14140320
septenary (7) 4035240
nonary (9) 810843
undecimal (11) 2a83a7
duodecimal (12) 1b16a0
tridecimal (13) 13a415
tetradecimal (14) c6b20
pentadecimal (15) 971b0

As an angle

479,640° = 1,332 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υοθχμʹ
Chinese
四十七萬九千六百四十
Chinese (financial)
肆拾柒萬玖仟陸佰肆拾
In other modern scripts
Eastern Arabic ٤٧٩٦٤٠ Devanagari ४७९६४० Bengali ৪৭৯৬৪০ Tamil ௪௭௯௬௪௦ Thai ๔๗๙๖๔๐ Tibetan ༤༧༩༦༤༠ Khmer ៤៧៩៦៤០ Lao ໔໗໙໖໔໐ Burmese ၄၇၉၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 479640, here are decompositions:

  • 11 + 479629 = 479640
  • 17 + 479623 = 479640
  • 41 + 479599 = 479640
  • 47 + 479593 = 479640
  • 59 + 479581 = 479640
  • 71 + 479569 = 479640
  • 79 + 479561 = 479640
  • 97 + 479543 = 479640

Showing the first eight; more decompositions exist.

Hex color
#075198
RGB(7, 81, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.81.152.

Address
0.7.81.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.81.152

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 479,640 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 479640 first appears in π at position 496,763 of the decimal expansion (the 496,763ordinal-suffix:rd 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°.