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470,432

470,432 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.).

470,432 (four hundred seventy thousand four hundred thirty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 61 × 241. Its proper divisors sum to 474,820, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72DA0.

Abundant Number Happy Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
234,074
Square (n²)
221,306,266,624
Cube (n³)
104,109,549,620,461,568
Divisor count
24
σ(n) — sum of divisors
945,252
φ(n) — Euler's totient
230,400
Sum of prime factors
312

Primality

Prime factorization: 2 5 × 61 × 241

Nearest primes: 470,429 (−3) · 470,443 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 32 · 61 · 122 · 241 · 244 · 482 · 488 · 964 · 976 · 1928 · 1952 · 3856 · 7712 · 14701 · 29402 · 58804 · 117608 · 235216 (half) · 470432
Aliquot sum (sum of proper divisors): 474,820
Factor pairs (a × b = 470,432)
1 × 470432
2 × 235216
4 × 117608
8 × 58804
16 × 29402
32 × 14701
61 × 7712
122 × 3856
241 × 1952
244 × 1928
482 × 976
488 × 964
First multiples
470,432 · 940,864 (double) · 1,411,296 · 1,881,728 · 2,352,160 · 2,822,592 · 3,293,024 · 3,763,456 · 4,233,888 · 4,704,320

Sums & aliquot sequence

As a sum of two squares: 116² + 676² = 236² + 644²
As consecutive integers: 7,682 + 7,683 + … + 7,742 7,319 + 7,320 + … + 7,382 1,832 + 1,833 + … + 2,072
Aliquot sequence: 470,432 474,820 522,344 457,066 233,018 118,630 94,922 52,150 59,450 57,730 51,134 27,754 13,880 17,440 24,140 30,292 22,726 — unresolved within range

Continued fraction of √n

√470,432 = [685; (1, 7, 2, 1, 2, 1, 4, 1, 4, 1, 2, 1, 2, 7, 1, 1370)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy thousand four hundred thirty-two
Ordinal
470432nd
Binary
1110010110110100000
Octal
1626640
Hexadecimal
0x72DA0
Base64
By2g
One's complement
4,294,496,863 (32-bit)
Scientific notation
4.70432 × 10⁵
As a duration
470,432 s = 5 days, 10 hours, 40 minutes, 32 seconds
In other bases
ternary (3) 212220022102
quaternary (4) 1302312200
quinary (5) 110023212
senary (6) 14025532
septenary (7) 3666344
nonary (9) 786272
undecimal (11) 2a1496
duodecimal (12) 1a82a8
tridecimal (13) 136181
tetradecimal (14) c3624
pentadecimal (15) 945c2

As an angle

470,432° = 1,306 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υουλβʹ
Chinese
四十七萬零四百三十二
Chinese (financial)
肆拾柒萬零肆佰參拾貳
In other modern scripts
Eastern Arabic ٤٧٠٤٣٢ Devanagari ४७०४३२ Bengali ৪৭০৪৩২ Tamil ௪௭௦௪௩௨ Thai ๔๗๐๔๓๒ Tibetan ༤༧༠༤༣༢ Khmer ៤៧០៤៣២ Lao ໔໗໐໔໓໒ Burmese ၄၇၀၄၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470432, here are decompositions:

  • 3 + 470429 = 470432
  • 19 + 470413 = 470432
  • 43 + 470389 = 470432
  • 73 + 470359 = 470432
  • 181 + 470251 = 470432
  • 223 + 470209 = 470432
  • 271 + 470161 = 470432
  • 283 + 470149 = 470432

Showing the first eight; more decompositions exist.

Hex color
#072DA0
RGB(7, 45, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.45.160.

Address
0.7.45.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.45.160

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 470,432 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 470432 first appears in π at position 119,757 of the decimal expansion (the 119,757ordinal-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°.