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479,872

479,872 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.).

479,872 (four hundred seventy-nine thousand eight hundred seventy-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 23 × 163. Its proper divisors sum to 523,808, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x75280.

Abundant Number Arithmetic Number Happy Number Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
37
Digit product
28,224
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
278,974
Square (n²)
230,277,136,384
Cube (n³)
110,503,549,990,862,848
Divisor count
32
σ(n) — sum of divisors
1,003,680
φ(n) — Euler's totient
228,096
Sum of prime factors
200

Primality

Prime factorization: 2 7 × 23 × 163

Nearest primes: 479,861 (−11) · 479,879 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 16 · 23 · 32 · 46 · 64 · 92 · 128 · 163 · 184 · 326 · 368 · 652 · 736 · 1304 · 1472 · 2608 · 2944 · 3749 · 5216 · 7498 · 10432 · 14996 · 20864 · 29992 · 59984 · 119968 · 239936 (half) · 479872
Aliquot sum (sum of proper divisors): 523,808
Factor pairs (a × b = 479,872)
1 × 479872
2 × 239936
4 × 119968
8 × 59984
16 × 29992
23 × 20864
32 × 14996
46 × 10432
64 × 7498
92 × 5216
128 × 3749
163 × 2944
184 × 2608
326 × 1472
368 × 1304
652 × 736
First multiples
479,872 · 959,744 (double) · 1,439,616 · 1,919,488 · 2,399,360 · 2,879,232 · 3,359,104 · 3,838,976 · 4,318,848 · 4,798,720

Sums & aliquot sequence

As consecutive integers: 20,853 + 20,854 + … + 20,875 2,863 + 2,864 + … + 3,025 1,747 + 1,748 + … + 2,002
Aliquot sequence: 479,872 523,808 507,502 253,754 132,454 94,634 47,320 84,440 105,640 146,360 183,040 332,048 311,326 155,666 111,214 65,474 37,966 — unresolved within range

Continued fraction of √n

√479,872 = [692; (1, 2, 1, 2, 12, 153, 1, 6, 13, 3, 4, 16, 1, 6, 1, 7, 1, 2, 1, 2, 1, 1, 2, 1, …)]

Representations

In words
four hundred seventy-nine thousand eight hundred seventy-two
Ordinal
479872nd
Binary
1110101001010000000
Octal
1651200
Hexadecimal
0x75280
Base64
B1KA
One's complement
4,294,487,423 (32-bit)
Scientific notation
4.79872 × 10⁵
As a duration
479,872 s = 5 days, 13 hours, 17 minutes, 52 seconds
In other bases
ternary (3) 220101021001
quaternary (4) 1311022000
quinary (5) 110323442
senary (6) 14141344
septenary (7) 4036021
nonary (9) 811231
undecimal (11) 2a8598
duodecimal (12) 1b1854
tridecimal (13) 13a563
tetradecimal (14) c6c48
pentadecimal (15) 972b7

As an angle

479,872° = 1,332 × 360° + 352°
352° ≈ 6.144 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υοθωοβʹ
Chinese
四十七萬九千八百七十二
Chinese (financial)
肆拾柒萬玖仟捌佰柒拾貳
In other modern scripts
Eastern Arabic ٤٧٩٨٧٢ Devanagari ४७९८७२ Bengali ৪৭৯৮৭২ Tamil ௪௭௯௮௭௨ Thai ๔๗๙๘๗๒ Tibetan ༤༧༩༨༧༢ Khmer ៤៧៩៨៧២ Lao ໔໗໙໘໗໒ Burmese ၄၇၉၈၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 479872, here are decompositions:

  • 11 + 479861 = 479872
  • 59 + 479813 = 479872
  • 89 + 479783 = 479872
  • 101 + 479771 = 479872
  • 233 + 479639 = 479872
  • 311 + 479561 = 479872
  • 359 + 479513 = 479872
  • 383 + 479489 = 479872

Showing the first eight; more decompositions exist.

Hex color
#075280
RGB(7, 82, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.82.128.

Address
0.7.82.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.82.128

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 479,872 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 479872 first appears in π at position 75,071 of the decimal expansion (the 75,071ordinal-suffix:st 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°.