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476,840

476,840 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.).

476,840 (four hundred seventy-six thousand eight hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 7 × 13 × 131. Its proper divisors sum to 853,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x746A8.

Abundant Number Arithmetic Number Gapful Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
48,674
Square (n²)
227,376,385,600
Cube (n³)
108,422,155,709,504,000
Divisor count
64
σ(n) — sum of divisors
1,330,560
φ(n) — Euler's totient
149,760
Sum of prime factors
162

Primality

Prime factorization: 2 3 × 5 × 7 × 13 × 131

Nearest primes: 476,831 (−9) · 476,849 (+9)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 13 · 14 · 20 · 26 · 28 · 35 · 40 · 52 · 56 · 65 · 70 · 91 · 104 · 130 · 131 · 140 · 182 · 260 · 262 · 280 · 364 · 455 · 520 · 524 · 655 · 728 · 910 · 917 · 1048 · 1310 · 1703 · 1820 · 1834 · 2620 · 3406 · 3640 · 3668 · 4585 · 5240 · 6812 · 7336 · 8515 · 9170 · 11921 · 13624 · 17030 · 18340 · 23842 · 34060 · 36680 · 47684 · 59605 · 68120 · 95368 · 119210 · 238420 (half) · 476840
Aliquot sum (sum of proper divisors): 853,720
Factor pairs (a × b = 476,840)
1 × 476840
2 × 238420
4 × 119210
5 × 95368
7 × 68120
8 × 59605
10 × 47684
13 × 36680
14 × 34060
20 × 23842
26 × 18340
28 × 17030
35 × 13624
40 × 11921
52 × 9170
56 × 8515
65 × 7336
70 × 6812
91 × 5240
104 × 4585
130 × 3668
131 × 3640
140 × 3406
182 × 2620
260 × 1834
262 × 1820
280 × 1703
364 × 1310
455 × 1048
520 × 917
524 × 910
655 × 728
First multiples
476,840 · 953,680 (double) · 1,430,520 · 1,907,360 · 2,384,200 · 2,861,040 · 3,337,880 · 3,814,720 · 4,291,560 · 4,768,400

Sums & aliquot sequence

As consecutive integers: 95,366 + 95,367 + 95,368 + 95,369 + 95,370 68,117 + 68,118 + … + 68,123 36,674 + 36,675 + … + 36,686 29,795 + 29,796 + … + 29,810
Aliquot sequence: 476,840 853,720 1,342,280 1,811,320 2,847,080 3,627,520 5,825,000 7,885,060 8,830,100 10,331,434 5,165,720 8,831,080 12,682,520 15,853,240 23,509,160 31,095,640 38,869,640 — unresolved within range

Continued fraction of √n

√476,840 = [690; (1, 1, 6, 2, 3, 1, 1, 1, 12, 1, 1, 1, 3, 2, 6, 1, 1, 1380)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-six thousand eight hundred forty
Ordinal
476840th
Binary
1110100011010101000
Octal
1643250
Hexadecimal
0x746A8
Base64
B0ao
One's complement
4,294,490,455 (32-bit)
Scientific notation
4.7684 × 10⁵
As a duration
476,840 s = 5 days, 12 hours, 27 minutes, 20 seconds
In other bases
ternary (3) 220020002202
quaternary (4) 1310122220
quinary (5) 110224330
senary (6) 14115332
septenary (7) 4024130
nonary (9) 806082
undecimal (11) 2a6291
duodecimal (12) 1abb48
tridecimal (13) 139070
tetradecimal (14) c5ac0
pentadecimal (15) 96445

As an angle

476,840° = 1,324 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υοϛωμʹ
Chinese
四十七萬六千八百四十
Chinese (financial)
肆拾柒萬陸仟捌佰肆拾
In other modern scripts
Eastern Arabic ٤٧٦٨٤٠ Devanagari ४७६८४० Bengali ৪৭৬৮৪০ Tamil ௪௭௬௮௪௦ Thai ๔๗๖๘๔๐ Tibetan ༤༧༦༨༤༠ Khmer ៤៧៦៨៤០ Lao ໔໗໖໘໔໐ Burmese ၄၇၆၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 476840, here are decompositions:

  • 37 + 476803 = 476840
  • 97 + 476743 = 476840
  • 103 + 476737 = 476840
  • 127 + 476713 = 476840
  • 139 + 476701 = 476840
  • 157 + 476683 = 476840
  • 181 + 476659 = 476840
  • 193 + 476647 = 476840

Showing the first eight; more decompositions exist.

Hex color
#0746A8
RGB(7, 70, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.70.168.

Address
0.7.70.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.70.168

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 476,840 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°.