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470,424

470,424 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.).

470,424 (four hundred seventy thousand four hundred twenty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 17 × 1,153. Its proper divisors sum to 775,896, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72D98.

Abundant Number Evil Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
424,074
Square (n²)
221,298,739,776
Cube (n³)
104,104,238,360,385,024
Divisor count
32
σ(n) — sum of divisors
1,246,320
φ(n) — Euler's totient
147,456
Sum of prime factors
1,179

Primality

Prime factorization: 2 3 × 3 × 17 × 1153

Nearest primes: 470,417 (−7) · 470,429 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 17 · 24 · 34 · 51 · 68 · 102 · 136 · 204 · 408 · 1153 · 2306 · 3459 · 4612 · 6918 · 9224 · 13836 · 19601 · 27672 · 39202 · 58803 · 78404 · 117606 · 156808 · 235212 (half) · 470424
Aliquot sum (sum of proper divisors): 775,896
Factor pairs (a × b = 470,424)
1 × 470424
2 × 235212
3 × 156808
4 × 117606
6 × 78404
8 × 58803
12 × 39202
17 × 27672
24 × 19601
34 × 13836
51 × 9224
68 × 6918
102 × 4612
136 × 3459
204 × 2306
408 × 1153
First multiples
470,424 · 940,848 (double) · 1,411,272 · 1,881,696 · 2,352,120 · 2,822,544 · 3,292,968 · 3,763,392 · 4,233,816 · 4,704,240

Sums & aliquot sequence

As consecutive integers: 156,807 + 156,808 + 156,809 29,394 + 29,395 + … + 29,409 27,664 + 27,665 + … + 27,680 9,777 + 9,778 + … + 9,824
Aliquot sequence: 470,424 775,896 1,340,904 2,011,416 3,777,384 6,393,336 9,652,104 22,958,136 39,220,344 67,001,616 137,561,184 259,522,776 445,411,584 852,710,332 657,112,388 493,756,492 371,717,628 — unresolved within range

Continued fraction of √n

√470,424 = [685; (1, 6, 1, 40, 1, 2, 3, 1, 6, 11, 5, 3, 2, 4, 1, 2, 5, 2, 1, 1, 1, 1, 28, 1, …)]

Representations

In words
four hundred seventy thousand four hundred twenty-four
Ordinal
470424th
Binary
1110010110110011000
Octal
1626630
Hexadecimal
0x72D98
Base64
By2Y
One's complement
4,294,496,871 (32-bit)
Scientific notation
4.70424 × 10⁵
As a duration
470,424 s = 5 days, 10 hours, 40 minutes, 24 seconds
In other bases
ternary (3) 212220022010
quaternary (4) 1302312120
quinary (5) 110023144
senary (6) 14025520
septenary (7) 3666333
nonary (9) 786263
undecimal (11) 2a1489
duodecimal (12) 1a82a0
tridecimal (13) 136176
tetradecimal (14) c361a
pentadecimal (15) 945b9

As an angle

470,424° = 1,306 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υουκδʹ
Chinese
四十七萬零四百二十四
Chinese (financial)
肆拾柒萬零肆佰貳拾肆
In other modern scripts
Eastern Arabic ٤٧٠٤٢٤ Devanagari ४७०४२४ Bengali ৪৭০৪২৪ Tamil ௪௭௦௪௨௪ Thai ๔๗๐๔๒๔ Tibetan ༤༧༠༤༢༤ Khmer ៤៧០៤២៤ Lao ໔໗໐໔໒໔ Burmese ၄၇၀၄၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470424, here are decompositions:

  • 7 + 470417 = 470424
  • 11 + 470413 = 470424
  • 13 + 470411 = 470424
  • 107 + 470317 = 470424
  • 127 + 470297 = 470424
  • 173 + 470251 = 470424
  • 181 + 470243 = 470424
  • 197 + 470227 = 470424

Showing the first eight; more decompositions exist.

Hex color
#072D98
RGB(7, 45, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.45.152.

Address
0.7.45.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.45.152

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 470,424 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 470424 first appears in π at position 872,830 of the decimal expansion (the 872,830ordinal-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°.