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473,352

473,352 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.).

473,352 (four hundred seventy-three thousand three hundred fifty-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3 × 11² × 163. Its proper divisors sum to 835,368, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73908.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
2,520
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
253,374
Square (n²)
224,062,115,904
Cube (n³)
106,060,250,687,390,208
Divisor count
48
σ(n) — sum of divisors
1,308,720
φ(n) — Euler's totient
142,560
Sum of prime factors
194

Primality

Prime factorization: 2 3 × 3 × 11 2 × 163

Nearest primes: 473,351 (−1) · 473,353 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 22 · 24 · 33 · 44 · 66 · 88 · 121 · 132 · 163 · 242 · 264 · 326 · 363 · 484 · 489 · 652 · 726 · 968 · 978 · 1304 · 1452 · 1793 · 1956 · 2904 · 3586 · 3912 · 5379 · 7172 · 10758 · 14344 · 19723 · 21516 · 39446 · 43032 · 59169 · 78892 · 118338 · 157784 · 236676 (half) · 473352
Aliquot sum (sum of proper divisors): 835,368
Factor pairs (a × b = 473,352)
1 × 473352
2 × 236676
3 × 157784
4 × 118338
6 × 78892
8 × 59169
11 × 43032
12 × 39446
22 × 21516
24 × 19723
33 × 14344
44 × 10758
66 × 7172
88 × 5379
121 × 3912
132 × 3586
163 × 2904
242 × 1956
264 × 1793
326 × 1452
363 × 1304
484 × 978
489 × 968
652 × 726
First multiples
473,352 · 946,704 (double) · 1,420,056 · 1,893,408 · 2,366,760 · 2,840,112 · 3,313,464 · 3,786,816 · 4,260,168 · 4,733,520

Sums & aliquot sequence

As consecutive integers: 157,783 + 157,784 + 157,785 43,027 + 43,028 + … + 43,037 29,577 + 29,578 + … + 29,592 14,328 + 14,329 + … + 14,360
Aliquot sequence: 473,352 835,368 1,253,112 2,327,688 4,551,912 7,878,168 14,006,232 26,162,208 48,237,390 87,180,210 158,716,350 303,247,386 412,329,294 567,954,738 757,273,530 1,261,484,358 1,377,171,642 — unresolved within range

Continued fraction of √n

√473,352 = [688; (172, 1376)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-three thousand three hundred fifty-two
Ordinal
473352nd
Binary
1110011100100001000
Octal
1634410
Hexadecimal
0x73908
Base64
BzkI
One's complement
4,294,493,943 (32-bit)
Scientific notation
4.73352 × 10⁵
As a duration
473,352 s = 5 days, 11 hours, 29 minutes, 12 seconds
In other bases
ternary (3) 220001022120
quaternary (4) 1303210020
quinary (5) 110121402
senary (6) 14051240
septenary (7) 4011015
nonary (9) 801276
undecimal (11) 2a3700
duodecimal (12) 1a9b20
tridecimal (13) 1375b9
tetradecimal (14) c470c
pentadecimal (15) 953bc

As an angle

473,352° = 1,314 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υογτνβʹ
Chinese
四十七萬三千三百五十二
Chinese (financial)
肆拾柒萬參仟參佰伍拾貳
In other modern scripts
Eastern Arabic ٤٧٣٣٥٢ Devanagari ४७३३५२ Bengali ৪৭৩৩৫২ Tamil ௪௭௩௩௫௨ Thai ๔๗๓๓๕๒ Tibetan ༤༧༣༣༥༢ Khmer ៤៧៣៣៥២ Lao ໔໗໓໓໕໒ Burmese ၄၇၃၃၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473352, here are decompositions:

  • 31 + 473321 = 473352
  • 41 + 473311 = 473352
  • 59 + 473293 = 473352
  • 73 + 473279 = 473352
  • 149 + 473203 = 473352
  • 151 + 473201 = 473352
  • 179 + 473173 = 473352
  • 193 + 473159 = 473352

Showing the first eight; more decompositions exist.

Hex color
#073908
RGB(7, 57, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.57.8.

Address
0.7.57.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.57.8

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 473,352 and was likely granted around 1891.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.