number.wiki
Live analysis

472,352

472,352 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.).

472,352 (four hundred seventy-two thousand three hundred fifty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 29 × 509. Its proper divisors sum to 491,548, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73520.

Abundant Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,680
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
253,274
Recamán's sequence
a(137,384) = 472,352
Square (n²)
223,116,411,904
Cube (n³)
105,389,483,395,678,208
Divisor count
24
σ(n) — sum of divisors
963,900
φ(n) — Euler's totient
227,584
Sum of prime factors
548

Primality

Prime factorization: 2 5 × 29 × 509

Nearest primes: 472,349 (−3) · 472,369 (+17)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 29 · 32 · 58 · 116 · 232 · 464 · 509 · 928 · 1018 · 2036 · 4072 · 8144 · 14761 · 16288 · 29522 · 59044 · 118088 · 236176 (half) · 472352
Aliquot sum (sum of proper divisors): 491,548
Factor pairs (a × b = 472,352)
1 × 472352
2 × 236176
4 × 118088
8 × 59044
16 × 29522
29 × 16288
32 × 14761
58 × 8144
116 × 4072
232 × 2036
464 × 1018
509 × 928
First multiples
472,352 · 944,704 (double) · 1,417,056 · 1,889,408 · 2,361,760 · 2,834,112 · 3,306,464 · 3,778,816 · 4,251,168 · 4,723,520

Sums & aliquot sequence

As a sum of two squares: 124² + 676² = 404² + 556²
As consecutive integers: 16,274 + 16,275 + … + 16,302 7,349 + 7,350 + … + 7,412 674 + 675 + … + 1,182
Aliquot sequence: 472,352 491,548 368,668 320,804 320,284 240,220 264,284 198,220 291,668 272,812 208,284 306,804 429,484 413,204 375,724 329,876 247,414 — unresolved within range

Continued fraction of √n

√472,352 = [687; (3, 1, 1, 2, 2, 1, 85, 4, 1, 7, 3, 343, 3, 7, 1, 4, 85, 1, 2, 2, 1, 1, 3, 1374)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-two thousand three hundred fifty-two
Ordinal
472352nd
Binary
1110011010100100000
Octal
1632440
Hexadecimal
0x73520
Base64
BzUg
One's complement
4,294,494,943 (32-bit)
Scientific notation
4.72352 × 10⁵
As a duration
472,352 s = 5 days, 11 hours, 12 minutes, 32 seconds
In other bases
ternary (3) 212222221112
quaternary (4) 1303110200
quinary (5) 110103402
senary (6) 14042452
septenary (7) 4005056
nonary (9) 788845
undecimal (11) 2a2981
duodecimal (12) 1a9428
tridecimal (13) 136cca
tetradecimal (14) c41d6
pentadecimal (15) 94e52

As an angle

472,352° = 1,312 × 360° + 32°
32° ≈ 0.559 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υοβτνβʹ
Chinese
四十七萬二千三百五十二
Chinese (financial)
肆拾柒萬貳仟參佰伍拾貳
In other modern scripts
Eastern Arabic ٤٧٢٣٥٢ Devanagari ४७२३५२ Bengali ৪৭২৩৫২ Tamil ௪௭௨௩௫௨ Thai ๔๗๒๓๕๒ Tibetan ༤༧༢༣༥༢ Khmer ៤៧២៣៥២ Lao ໔໗໒໓໕໒ Burmese ၄၇၂၃၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472352, here are decompositions:

  • 3 + 472349 = 472352
  • 19 + 472333 = 472352
  • 43 + 472309 = 472352
  • 79 + 472273 = 472352
  • 103 + 472249 = 472352
  • 163 + 472189 = 472352
  • 193 + 472159 = 472352
  • 229 + 472123 = 472352

Showing the first eight; more decompositions exist.

Hex color
#073520
RGB(7, 53, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.32.

Address
0.7.53.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.53.32

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 472,352 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 472352 first appears in π at position 266,467 of the decimal expansion (the 266,467ordinal-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°.