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476,064

476,064 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.).

476,064 (four hundred seventy-six thousand sixty-four) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3³ × 19 × 29. Its proper divisors sum to 1,035,936, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x743A0.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
460,674
Square (n²)
226,636,932,096
Cube (n³)
107,893,684,441,350,144
Divisor count
96
σ(n) — sum of divisors
1,512,000
φ(n) — Euler's totient
145,152
Sum of prime factors
67

Primality

Prime factorization: 2 5 × 3 3 × 19 × 29

Nearest primes: 476,059 (−5) · 476,081 (+17)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 19 · 24 · 27 · 29 · 32 · 36 · 38 · 48 · 54 · 57 · 58 · 72 · 76 · 87 · 96 · 108 · 114 · 116 · 144 · 152 · 171 · 174 · 216 · 228 · 232 · 261 · 288 · 304 · 342 · 348 · 432 · 456 · 464 · 513 · 522 · 551 · 608 · 684 · 696 · 783 · 864 · 912 · 928 · 1026 · 1044 · 1102 · 1368 · 1392 · 1566 · 1653 · 1824 · 2052 · 2088 · 2204 · 2736 · 2784 · 3132 · 3306 · 4104 · 4176 · 4408 · 4959 · 5472 · 6264 · 6612 · 8208 · 8352 · 8816 · 9918 · 12528 · 13224 · 14877 · 16416 · 17632 · 19836 · 25056 · 26448 · 29754 · 39672 · 52896 · 59508 · 79344 · 119016 · 158688 · 238032 (half) · 476064
Aliquot sum (sum of proper divisors): 1,035,936
Factor pairs (a × b = 476,064)
1 × 476064
2 × 238032
3 × 158688
4 × 119016
6 × 79344
8 × 59508
9 × 52896
12 × 39672
16 × 29754
18 × 26448
19 × 25056
24 × 19836
27 × 17632
29 × 16416
32 × 14877
36 × 13224
38 × 12528
48 × 9918
54 × 8816
57 × 8352
58 × 8208
72 × 6612
76 × 6264
87 × 5472
96 × 4959
108 × 4408
114 × 4176
116 × 4104
144 × 3306
152 × 3132
171 × 2784
174 × 2736
216 × 2204
228 × 2088
232 × 2052
261 × 1824
288 × 1653
304 × 1566
342 × 1392
348 × 1368
432 × 1102
456 × 1044
464 × 1026
513 × 928
522 × 912
551 × 864
608 × 783
684 × 696
First multiples
476,064 · 952,128 (double) · 1,428,192 · 1,904,256 · 2,380,320 · 2,856,384 · 3,332,448 · 3,808,512 · 4,284,576 · 4,760,640

Sums & aliquot sequence

As consecutive integers: 158,687 + 158,688 + 158,689 52,892 + 52,893 + … + 52,900 25,047 + 25,048 + … + 25,065 17,619 + 17,620 + … + 17,645
Aliquot sequence: 476,064 1,035,936 2,290,464 5,027,616 11,695,104 24,070,080 52,355,472 93,301,872 148,182,672 291,432,048 475,126,032 758,475,568 715,244,840 898,292,440 1,122,865,640 1,836,692,920 2,610,790,280 — unresolved within range

Continued fraction of √n

√476,064 = [689; (1, 37, 3, 152, 1, 343, 1, 152, 3, 37, 1, 1378)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-six thousand sixty-four
Ordinal
476064th
Binary
1110100001110100000
Octal
1641640
Hexadecimal
0x743A0
Base64
B0Og
One's complement
4,294,491,231 (32-bit)
Scientific notation
4.76064 × 10⁵
As a duration
476,064 s = 5 days, 12 hours, 14 minutes, 24 seconds
In other bases
ternary (3) 220012001000
quaternary (4) 1310032200
quinary (5) 110213224
senary (6) 14112000
septenary (7) 4021641
nonary (9) 805030
undecimal (11) 2a5746
duodecimal (12) 1ab600
tridecimal (13) 1388c4
tetradecimal (14) c56c8
pentadecimal (15) 960c9

As an angle

476,064° = 1,322 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοϛξδʹ
Chinese
四十七萬六千零六十四
Chinese (financial)
肆拾柒萬陸仟零陸拾肆
In other modern scripts
Eastern Arabic ٤٧٦٠٦٤ Devanagari ४७६०६४ Bengali ৪৭৬০৬৪ Tamil ௪௭௬௦௬௪ Thai ๔๗๖๐๖๔ Tibetan ༤༧༦༠༦༤ Khmer ៤៧៦០៦៤ Lao ໔໗໖໐໖໔ Burmese ၄၇၆၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 476064, here are decompositions:

  • 5 + 476059 = 476064
  • 23 + 476041 = 476064
  • 37 + 476027 = 476064
  • 41 + 476023 = 476064
  • 67 + 475997 = 476064
  • 73 + 475991 = 476064
  • 107 + 475957 = 476064
  • 131 + 475933 = 476064

Showing the first eight; more decompositions exist.

Hex color
#0743A0
RGB(7, 67, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.67.160.

Address
0.7.67.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.67.160

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 476,064 and was likely granted around 1892.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.