number.wiki
Live analysis

472,328

472,328 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.).

472,328 (four hundred seventy-two thousand three hundred twenty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 17 × 23 × 151. Its proper divisors sum to 512,632, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73508.

Abundant Number Arithmetic Number Evil Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
2,688
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
823,274
Square (n²)
223,093,739,584
Cube (n³)
105,373,419,830,231,552
Divisor count
32
σ(n) — sum of divisors
984,960
φ(n) — Euler's totient
211,200
Sum of prime factors
197

Primality

Prime factorization: 2 3 × 17 × 23 × 151

Nearest primes: 472,319 (−9) · 472,331 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 17 · 23 · 34 · 46 · 68 · 92 · 136 · 151 · 184 · 302 · 391 · 604 · 782 · 1208 · 1564 · 2567 · 3128 · 3473 · 5134 · 6946 · 10268 · 13892 · 20536 · 27784 · 59041 · 118082 · 236164 (half) · 472328
Aliquot sum (sum of proper divisors): 512,632
Factor pairs (a × b = 472,328)
1 × 472328
2 × 236164
4 × 118082
8 × 59041
17 × 27784
23 × 20536
34 × 13892
46 × 10268
68 × 6946
92 × 5134
136 × 3473
151 × 3128
184 × 2567
302 × 1564
391 × 1208
604 × 782
First multiples
472,328 · 944,656 (double) · 1,416,984 · 1,889,312 · 2,361,640 · 2,833,968 · 3,306,296 · 3,778,624 · 4,250,952 · 4,723,280

Sums & aliquot sequence

As consecutive integers: 29,513 + 29,514 + … + 29,528 27,776 + 27,777 + … + 27,792 20,525 + 20,526 + … + 20,547 3,053 + 3,054 + … + 3,203
Aliquot sequence: 472,328 512,632 457,568 459,712 536,984 645,736 846,104 1,033,096 1,031,504 1,054,672 1,060,148 795,118 404,762 202,384 283,696 385,904 372,976 — unresolved within range

Continued fraction of √n

√472,328 = [687; (3, 1, 4, 1, 4, 2, 2, 171, 2, 2, 4, 1, 4, 1, 3, 1374)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-two thousand three hundred twenty-eight
Ordinal
472328th
Binary
1110011010100001000
Octal
1632410
Hexadecimal
0x73508
Base64
BzUI
One's complement
4,294,494,967 (32-bit)
Scientific notation
4.72328 × 10⁵
As a duration
472,328 s = 5 days, 11 hours, 12 minutes, 8 seconds
In other bases
ternary (3) 212222220122
quaternary (4) 1303110020
quinary (5) 110103303
senary (6) 14042412
septenary (7) 4005023
nonary (9) 788818
undecimal (11) 2a295a
duodecimal (12) 1a9408
tridecimal (13) 136cac
tetradecimal (14) c41ba
pentadecimal (15) 94e38

As an angle

472,328° = 1,312 × 360° + 8°
8° ≈ 0.14 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοβτκηʹ
Chinese
四十七萬二千三百二十八
Chinese (financial)
肆拾柒萬貳仟參佰貳拾捌
In other modern scripts
Eastern Arabic ٤٧٢٣٢٨ Devanagari ४७२३२८ Bengali ৪৭২৩২৮ Tamil ௪௭௨௩௨௮ Thai ๔๗๒๓๒๘ Tibetan ༤༧༢༣༢༨ Khmer ៤៧២៣២៨ Lao ໔໗໒໓໒໘ Burmese ၄၇၂၃၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472328, here are decompositions:

  • 19 + 472309 = 472328
  • 67 + 472261 = 472328
  • 79 + 472249 = 472328
  • 139 + 472189 = 472328
  • 271 + 472057 = 472328
  • 277 + 472051 = 472328
  • 331 + 471997 = 472328
  • 379 + 471949 = 472328

Showing the first eight; more decompositions exist.

Hex color
#073508
RGB(7, 53, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.8.

Address
0.7.53.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.53.8

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 472,328 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 472328 first appears in π at position 391,851 of the decimal expansion (the 391,851ordinal-suffix:st 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°.