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473,628

473,628 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.).

473,628 (four hundred seventy-three thousand six hundred twenty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 29 × 1,361. Its proper divisors sum to 670,452, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73A1C.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
8,064
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
826,374
Square (n²)
224,323,482,384
Cube (n³)
106,245,882,314,569,152
Divisor count
24
σ(n) — sum of divisors
1,144,080
φ(n) — Euler's totient
152,320
Sum of prime factors
1,397

Primality

Prime factorization: 2 2 × 3 × 29 × 1361

Nearest primes: 473,617 (−11) · 473,633 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 29 · 58 · 87 · 116 · 174 · 348 · 1361 · 2722 · 4083 · 5444 · 8166 · 16332 · 39469 · 78938 · 118407 · 157876 · 236814 (half) · 473628
Aliquot sum (sum of proper divisors): 670,452
Factor pairs (a × b = 473,628)
1 × 473628
2 × 236814
3 × 157876
4 × 118407
6 × 78938
12 × 39469
29 × 16332
58 × 8166
87 × 5444
116 × 4083
174 × 2722
348 × 1361
First multiples
473,628 · 947,256 (double) · 1,420,884 · 1,894,512 · 2,368,140 · 2,841,768 · 3,315,396 · 3,789,024 · 4,262,652 · 4,736,280

Sums & aliquot sequence

As consecutive integers: 157,875 + 157,876 + 157,877 59,200 + 59,201 + … + 59,207 19,723 + 19,724 + … + 19,746 16,318 + 16,319 + … + 16,346
Aliquot sequence: 473,628 670,452 893,964 1,363,956 2,108,268 3,448,052 2,586,046 1,426,874 806,566 414,914 207,460 300,572 229,804 178,380 363,252 484,364 418,216 — unresolved within range

Continued fraction of √n

√473,628 = [688; (4, 1, 5, 2, 16, 8, 7, 1, 1, 3, 3, 10, 8, 6, 1, 8, 1, 9, 4, 1, 1, 105, 3, 11, …)]

Representations

In words
four hundred seventy-three thousand six hundred twenty-eight
Ordinal
473628th
Binary
1110011101000011100
Octal
1635034
Hexadecimal
0x73A1C
Base64
Bzoc
One's complement
4,294,493,667 (32-bit)
Scientific notation
4.73628 × 10⁵
As a duration
473,628 s = 5 days, 11 hours, 33 minutes, 48 seconds
In other bases
ternary (3) 220001200210
quaternary (4) 1303220130
quinary (5) 110124003
senary (6) 14052420
septenary (7) 4011561
nonary (9) 801623
undecimal (11) 2a3931
duodecimal (12) 1aa110
tridecimal (13) 13776c
tetradecimal (14) c4868
pentadecimal (15) 95503

As an angle

473,628° = 1,315 × 360° + 228°
228° ≈ 3.979 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υογχκηʹ
Chinese
四十七萬三千六百二十八
Chinese (financial)
肆拾柒萬參仟陸佰貳拾捌
In other modern scripts
Eastern Arabic ٤٧٣٦٢٨ Devanagari ४७३६२८ Bengali ৪৭৩৬২৮ Tamil ௪௭௩௬௨௮ Thai ๔๗๓๖๒๘ Tibetan ༤༧༣༦༢༨ Khmer ៤៧៣៦២៨ Lao ໔໗໓໖໒໘ Burmese ၄၇၃၆၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473628, here are decompositions:

  • 11 + 473617 = 473628
  • 17 + 473611 = 473628
  • 31 + 473597 = 473628
  • 79 + 473549 = 473628
  • 97 + 473531 = 473628
  • 101 + 473527 = 473628
  • 109 + 473519 = 473628
  • 131 + 473497 = 473628

Showing the first eight; more decompositions exist.

Hex color
#073A1C
RGB(7, 58, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.58.28.

Address
0.7.58.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.58.28

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 473,628 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 473628 first appears in π at position 479,070 of the decimal expansion (the 479,070ordinal-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°.