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473,512

473,512 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.).

473,512 (four hundred seventy-three thousand five hundred twelve) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 13 × 29 × 157. Its proper divisors sum to 521,888, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x739A8.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
840
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
215,374
Square (n²)
224,213,614,144
Cube (n³)
106,167,836,860,553,728
Divisor count
32
σ(n) — sum of divisors
995,400
φ(n) — Euler's totient
209,664
Sum of prime factors
205

Primality

Prime factorization: 2 3 × 13 × 29 × 157

Nearest primes: 473,507 (−5) · 473,513 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 13 · 26 · 29 · 52 · 58 · 104 · 116 · 157 · 232 · 314 · 377 · 628 · 754 · 1256 · 1508 · 2041 · 3016 · 4082 · 4553 · 8164 · 9106 · 16328 · 18212 · 36424 · 59189 · 118378 · 236756 (half) · 473512
Aliquot sum (sum of proper divisors): 521,888
Factor pairs (a × b = 473,512)
1 × 473512
2 × 236756
4 × 118378
8 × 59189
13 × 36424
26 × 18212
29 × 16328
52 × 9106
58 × 8164
104 × 4553
116 × 4082
157 × 3016
232 × 2041
314 × 1508
377 × 1256
628 × 754
First multiples
473,512 · 947,024 (double) · 1,420,536 · 1,894,048 · 2,367,560 · 2,841,072 · 3,314,584 · 3,788,096 · 4,261,608 · 4,735,120

Sums & aliquot sequence

As a sum of two squares: 54² + 686² = 214² + 654² = 326² + 606² = 434² + 534²
As consecutive integers: 36,418 + 36,419 + … + 36,430 29,587 + 29,588 + … + 29,602 16,314 + 16,315 + … + 16,342 2,938 + 2,939 + … + 3,094
Aliquot sequence: 473,512 521,888 530,464 625,838 385,042 286,988 253,972 190,486 117,962 74,188 63,404 59,488 78,860 86,788 76,872 115,368 230,232 — unresolved within range

Continued fraction of √n

√473,512 = [688; (8, 5, 4, 2, 1, 7, 1, 1, 343, 1, 1, 7, 1, 2, 4, 5, 8, 1376)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-three thousand five hundred twelve
Ordinal
473512th
Binary
1110011100110101000
Octal
1634650
Hexadecimal
0x739A8
Base64
Bzmo
One's complement
4,294,493,783 (32-bit)
Scientific notation
4.73512 × 10⁵
As a duration
473,512 s = 5 days, 11 hours, 31 minutes, 52 seconds
In other bases
ternary (3) 220001112111
quaternary (4) 1303212220
quinary (5) 110123022
senary (6) 14052104
septenary (7) 4011334
nonary (9) 801474
undecimal (11) 2a3836
duodecimal (12) 1aa034
tridecimal (13) 1376b0
tetradecimal (14) c47c4
pentadecimal (15) 95477

As an angle

473,512° = 1,315 × 360° + 112°
112° ≈ 1.955 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵υογφιβʹ
Chinese
四十七萬三千五百一十二
Chinese (financial)
肆拾柒萬參仟伍佰壹拾貳
In other modern scripts
Eastern Arabic ٤٧٣٥١٢ Devanagari ४७३५१२ Bengali ৪৭৩৫১২ Tamil ௪௭௩௫௧௨ Thai ๔๗๓๕๑๒ Tibetan ༤༧༣༥༡༢ Khmer ៤៧៣៥១២ Lao ໔໗໓໕໑໒ Burmese ၄၇၃၅၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473512, here are decompositions:

  • 5 + 473507 = 473512
  • 41 + 473471 = 473512
  • 59 + 473453 = 473512
  • 71 + 473441 = 473512
  • 101 + 473411 = 473512
  • 131 + 473381 = 473512
  • 191 + 473321 = 473512
  • 233 + 473279 = 473512

Showing the first eight; more decompositions exist.

Hex color
#0739A8
RGB(7, 57, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.57.168.

Address
0.7.57.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.57.168

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 473,512 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 473512 first appears in π at position 59,145 of the decimal expansion (the 59,145ordinal-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°.