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476,424

476,424 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.).

476,424 (four hundred seventy-six thousand four hundred twenty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 13 × 509. Its proper divisors sum to 915,876, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74508.

Abundant Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
5,376
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
424,674
Square (n²)
226,979,827,776
Cube (n³)
108,138,637,468,353,024
Divisor count
48
σ(n) — sum of divisors
1,392,300
φ(n) — Euler's totient
146,304
Sum of prime factors
534

Primality

Prime factorization: 2 3 × 3 2 × 13 × 509

Nearest primes: 476,423 (−1) · 476,429 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 18 · 24 · 26 · 36 · 39 · 52 · 72 · 78 · 104 · 117 · 156 · 234 · 312 · 468 · 509 · 936 · 1018 · 1527 · 2036 · 3054 · 4072 · 4581 · 6108 · 6617 · 9162 · 12216 · 13234 · 18324 · 19851 · 26468 · 36648 · 39702 · 52936 · 59553 · 79404 · 119106 · 158808 · 238212 (half) · 476424
Aliquot sum (sum of proper divisors): 915,876
Factor pairs (a × b = 476,424)
1 × 476424
2 × 238212
3 × 158808
4 × 119106
6 × 79404
8 × 59553
9 × 52936
12 × 39702
13 × 36648
18 × 26468
24 × 19851
26 × 18324
36 × 13234
39 × 12216
52 × 9162
72 × 6617
78 × 6108
104 × 4581
117 × 4072
156 × 3054
234 × 2036
312 × 1527
468 × 1018
509 × 936
First multiples
476,424 · 952,848 (double) · 1,429,272 · 1,905,696 · 2,382,120 · 2,858,544 · 3,334,968 · 3,811,392 · 4,287,816 · 4,764,240

Sums & aliquot sequence

As a sum of two squares: 18² + 690² = 282² + 630²
As consecutive integers: 158,807 + 158,808 + 158,809 52,932 + 52,933 + … + 52,940 36,642 + 36,643 + … + 36,654 29,769 + 29,770 + … + 29,784
Aliquot sequence: 476,424 915,876 1,734,044 1,534,060 2,175,380 2,392,960 3,329,240 4,161,640 6,724,760 11,497,000 15,408,320 21,624,880 28,653,152 32,886,760 41,108,540 53,786,428 40,397,564 — unresolved within range

Continued fraction of √n

√476,424 = [690; (4, 3, 1, 5, 1, 1, 24, 8, 1, 54, 3, 27, 1, 5, 3, 4, 2, 5, 1, 10, 1, 1, 3, 2, …)]

Representations

In words
four hundred seventy-six thousand four hundred twenty-four
Ordinal
476424th
Binary
1110100010100001000
Octal
1642410
Hexadecimal
0x74508
Base64
B0UI
One's complement
4,294,490,871 (32-bit)
Scientific notation
4.76424 × 10⁵
As a duration
476,424 s = 5 days, 12 hours, 20 minutes, 24 seconds
In other bases
ternary (3) 220012112100
quaternary (4) 1310110020
quinary (5) 110221144
senary (6) 14113400
septenary (7) 4022664
nonary (9) 805470
undecimal (11) 2a5a43
duodecimal (12) 1ab860
tridecimal (13) 138b10
tetradecimal (14) c58a4
pentadecimal (15) 96269
Palindromic in base 15

As an angle

476,424° = 1,323 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοϛυκδʹ
Chinese
四十七萬六千四百二十四
Chinese (financial)
肆拾柒萬陸仟肆佰貳拾肆
In other modern scripts
Eastern Arabic ٤٧٦٤٢٤ Devanagari ४७६४२४ Bengali ৪৭৬৪২৪ Tamil ௪௭௬௪௨௪ Thai ๔๗๖๔๒๔ Tibetan ༤༧༦༤༢༤ Khmer ៤៧៦៤២៤ Lao ໔໗໖໔໒໔ Burmese ၄၇၆၄၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 476424, here are decompositions:

  • 5 + 476419 = 476424
  • 17 + 476407 = 476424
  • 23 + 476401 = 476424
  • 43 + 476381 = 476424
  • 61 + 476363 = 476424
  • 73 + 476351 = 476424
  • 107 + 476317 = 476424
  • 181 + 476243 = 476424

Showing the first eight; more decompositions exist.

Hex color
#074508
RGB(7, 69, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.69.8.

Address
0.7.69.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.69.8

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 476,424 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 476424 first appears in π at position 583,612 of the decimal expansion (the 583,612ordinal-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°.