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470,232

470,232 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.).

470,232 (four hundred seventy thousand two hundred thirty-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3³ × 7 × 311. Its proper divisors sum to 1,027,368, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72CD8.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
232,074
Square (n²)
221,118,133,824
Cube (n³)
103,976,822,304,327,168
Divisor count
64
σ(n) — sum of divisors
1,497,600
φ(n) — Euler's totient
133,920
Sum of prime factors
333

Primality

Prime factorization: 2 3 × 3 3 × 7 × 311

Nearest primes: 470,227 (−5) · 470,243 (+11)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 18 · 21 · 24 · 27 · 28 · 36 · 42 · 54 · 56 · 63 · 72 · 84 · 108 · 126 · 168 · 189 · 216 · 252 · 311 · 378 · 504 · 622 · 756 · 933 · 1244 · 1512 · 1866 · 2177 · 2488 · 2799 · 3732 · 4354 · 5598 · 6531 · 7464 · 8397 · 8708 · 11196 · 13062 · 16794 · 17416 · 19593 · 22392 · 26124 · 33588 · 39186 · 52248 · 58779 · 67176 · 78372 · 117558 · 156744 · 235116 (half) · 470232
Aliquot sum (sum of proper divisors): 1,027,368
Factor pairs (a × b = 470,232)
1 × 470232
2 × 235116
3 × 156744
4 × 117558
6 × 78372
7 × 67176
8 × 58779
9 × 52248
12 × 39186
14 × 33588
18 × 26124
21 × 22392
24 × 19593
27 × 17416
28 × 16794
36 × 13062
42 × 11196
54 × 8708
56 × 8397
63 × 7464
72 × 6531
84 × 5598
108 × 4354
126 × 3732
168 × 2799
189 × 2488
216 × 2177
252 × 1866
311 × 1512
378 × 1244
504 × 933
622 × 756
First multiples
470,232 · 940,464 (double) · 1,410,696 · 1,880,928 · 2,351,160 · 2,821,392 · 3,291,624 · 3,761,856 · 4,232,088 · 4,702,320

Sums & aliquot sequence

As consecutive integers: 156,743 + 156,744 + 156,745 67,173 + 67,174 + … + 67,179 52,244 + 52,245 + … + 52,252 29,382 + 29,383 + … + 29,397
Aliquot sequence: 470,232 1,027,368 1,905,432 2,858,208 5,044,512 10,305,312 16,746,384 26,515,232 25,686,694 19,188,602 9,999,910 9,401,210 11,428,102 9,015,290 7,212,250 7,091,702 3,545,854 — unresolved within range

Continued fraction of √n

√470,232 = [685; (1, 2, 1, 3, 3, 7, 1, 4, 4, 4, 1, 7, 3, 3, 1, 2, 1, 1370)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy thousand two hundred thirty-two
Ordinal
470232nd
Binary
1110010110011011000
Octal
1626330
Hexadecimal
0x72CD8
Base64
ByzY
One's complement
4,294,497,063 (32-bit)
Scientific notation
4.70232 × 10⁵
As a duration
470,232 s = 5 days, 10 hours, 37 minutes, 12 seconds
In other bases
ternary (3) 212220001000
quaternary (4) 1302303120
quinary (5) 110021412
senary (6) 14025000
septenary (7) 3665640
nonary (9) 786030
undecimal (11) 2a1324
duodecimal (12) 1a8160
tridecimal (13) 136059
tetradecimal (14) c3520
pentadecimal (15) 944dc

As an angle

470,232° = 1,306 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υοσλβʹ
Chinese
四十七萬零二百三十二
Chinese (financial)
肆拾柒萬零貳佰參拾貳
In other modern scripts
Eastern Arabic ٤٧٠٢٣٢ Devanagari ४७०२३२ Bengali ৪৭০২৩২ Tamil ௪௭௦௨௩௨ Thai ๔๗๐๒๓๒ Tibetan ༤༧༠༢༣༢ Khmer ៤៧០២៣២ Lao ໔໗໐໒໓໒ Burmese ၄၇၀၂၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470232, here are decompositions:

  • 5 + 470227 = 470232
  • 13 + 470219 = 470232
  • 19 + 470213 = 470232
  • 23 + 470209 = 470232
  • 31 + 470201 = 470232
  • 53 + 470179 = 470232
  • 71 + 470161 = 470232
  • 79 + 470153 = 470232

Showing the first eight; more decompositions exist.

Hex color
#072CD8
RGB(7, 44, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.44.216.

Address
0.7.44.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.44.216

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 470,232 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 470232 first appears in π at position 46,502 of the decimal expansion (the 46,502ordinal-suffix:nd 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°.