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470,496

470,496 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.).

470,496 (four hundred seventy thousand four hundred ninety-six) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3 × 13² × 29. Its proper divisors sum to 912,984, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72DE0.

Abundant Number Arithmetic Number Evil Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
694,074
Square (n²)
221,366,486,016
Cube (n³)
104,152,046,204,583,936
Divisor count
72
σ(n) — sum of divisors
1,383,480
φ(n) — Euler's totient
139,776
Sum of prime factors
68

Primality

Prime factorization: 2 5 × 3 × 13 2 × 29

Nearest primes: 470,489 (−7) · 470,501 (+5)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 16 · 24 · 26 · 29 · 32 · 39 · 48 · 52 · 58 · 78 · 87 · 96 · 104 · 116 · 156 · 169 · 174 · 208 · 232 · 312 · 338 · 348 · 377 · 416 · 464 · 507 · 624 · 676 · 696 · 754 · 928 · 1014 · 1131 · 1248 · 1352 · 1392 · 1508 · 2028 · 2262 · 2704 · 2784 · 3016 · 4056 · 4524 · 4901 · 5408 · 6032 · 8112 · 9048 · 9802 · 12064 · 14703 · 16224 · 18096 · 19604 · 29406 · 36192 · 39208 · 58812 · 78416 · 117624 · 156832 · 235248 (half) · 470496
Aliquot sum (sum of proper divisors): 912,984
Factor pairs (a × b = 470,496)
1 × 470496
2 × 235248
3 × 156832
4 × 117624
6 × 78416
8 × 58812
12 × 39208
13 × 36192
16 × 29406
24 × 19604
26 × 18096
29 × 16224
32 × 14703
39 × 12064
48 × 9802
52 × 9048
58 × 8112
78 × 6032
87 × 5408
96 × 4901
104 × 4524
116 × 4056
156 × 3016
169 × 2784
174 × 2704
208 × 2262
232 × 2028
312 × 1508
338 × 1392
348 × 1352
377 × 1248
416 × 1131
464 × 1014
507 × 928
624 × 754
676 × 696
First multiples
470,496 · 940,992 (double) · 1,411,488 · 1,881,984 · 2,352,480 · 2,822,976 · 3,293,472 · 3,763,968 · 4,234,464 · 4,704,960

Sums & aliquot sequence

As consecutive integers: 156,831 + 156,832 + 156,833 36,186 + 36,187 + … + 36,198 16,210 + 16,211 + … + 16,238 12,045 + 12,046 + … + 12,083
Aliquot sequence: 470,496 912,984 1,397,016 2,386,764 3,697,860 6,656,316 10,068,420 19,784,508 28,948,932 48,080,748 64,107,692 58,524,580 65,197,340 87,024,100 101,818,414 50,909,210 52,511,590 — unresolved within range

Continued fraction of √n

√470,496 = [685; (1, 12, 1, 2, 1, 1, 3, 1, 1, 10, 1, 3, 2, 7, 1, 2, 14, 1, 1, 3, 2, 1, 1, 1, …)]

Representations

In words
four hundred seventy thousand four hundred ninety-six
Ordinal
470496th
Binary
1110010110111100000
Octal
1626740
Hexadecimal
0x72DE0
Base64
By3g
One's complement
4,294,496,799 (32-bit)
Scientific notation
4.70496 × 10⁵
As a duration
470,496 s = 5 days, 10 hours, 41 minutes, 36 seconds
In other bases
ternary (3) 212220101210
quaternary (4) 1302313200
quinary (5) 110023441
senary (6) 14030120
septenary (7) 3666465
nonary (9) 786353
undecimal (11) 2a1544
duodecimal (12) 1a8340
tridecimal (13) 136200
tetradecimal (14) c366c
pentadecimal (15) 94616

As an angle

470,496° = 1,306 × 360° + 336°
336° ≈ 5.864 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υουϟϛʹ
Chinese
四十七萬零四百九十六
Chinese (financial)
肆拾柒萬零肆佰玖拾陸
In other modern scripts
Eastern Arabic ٤٧٠٤٩٦ Devanagari ४७०४९६ Bengali ৪৭০৪৯৬ Tamil ௪௭௦௪௯௬ Thai ๔๗๐๔๙๖ Tibetan ༤༧༠༤༩༦ Khmer ៤៧០៤៩៦ Lao ໔໗໐໔໙໖ Burmese ၄၇၀၄၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470496, here are decompositions:

  • 7 + 470489 = 470496
  • 23 + 470473 = 470496
  • 43 + 470453 = 470496
  • 53 + 470443 = 470496
  • 67 + 470429 = 470496
  • 79 + 470417 = 470496
  • 83 + 470413 = 470496
  • 97 + 470399 = 470496

Showing the first eight; more decompositions exist.

Hex color
#072DE0
RGB(7, 45, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.45.224.

Address
0.7.45.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.45.224

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 470,496 and was likely granted around 1891.

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

Position in π

The digit sequence 470496 first appears in π at position 69,448 of the decimal expansion (the 69,448ordinal-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°.