Live analysis

472,628

472,628 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.).

472,628 (four hundred seventy-two thousand six hundred twenty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 13 × 61 × 149. Written other ways, in hexadecimal, 0x73634.

Arithmetic Number Cube-Free Deficient Number Evil Number Self Number Smith Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

472,616 472,617 472,618 472,619 472,620 472,621 472,622 472,623 472,624 472,625 472,626 472,627 472,628 472,629 472,630 472,631 472,632 472,633 472,634 472,635 472,636 472,637 472,638 472,639 472,640

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Properties

Parity: Even
Digit count: 6
Digit sum: 29
Digit product: 5,376
Digital root: 2
Palindrome: No
Bit width: 19 bits
Reversed: 826,274
Square (n²): 223,377,226,384
Cube (n³): 105,574,331,751,417,152
Divisor count: 24
σ(n) — sum of divisors: 911,400
φ(n) — Euler's totient: 213,120
Sum of prime factors: 227

Primality

Prime factorization: 2 ² × 13 × 61 × 149

Nearest primes: 472,597 (−31) · 472,631 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 13 · 26 · 52 · 61 · 122 · 149 · 244 · 298 · 596 · 793 · 1586 · 1937 · 3172 · 3874 · 7748 · 9089 · 18178 · 36356 · 118157 · 236314 (half) · 472628

Aliquot sum (sum of proper divisors): 438,772

Factor pairs (a × b = 472,628)

1 × 472628

2 × 236314

4 × 118157

13 × 36356

26 × 18178

52 × 9089

61 × 7748

122 × 3874

149 × 3172

244 × 1937

298 × 1586

596 × 793

First multiples

472,628 · 945,256 (double) · 1,417,884 · 1,890,512 · 2,363,140 · 2,835,768 · 3,308,396 · 3,781,024 · 4,253,652 · 4,726,280

Sums & aliquot sequence

As a sum of two squares: 218² + 652² = 332² + 602² = 428² + 538² = 452² + 518²

As consecutive integers: 59,075 + 59,076 + … + 59,082 36,350 + 36,351 + … + 36,362 7,718 + 7,719 + … + 7,778 4,493 + 4,494 + … + 4,596

Aliquot sequence: 472,628 → 438,772 → 347,244 → 506,196 → 849,004 → 809,156 → 606,874 → 350,726 → 193,594 → 96,800 → 162,949 → 3,515 → 1,045 → 395 → 85 → 23 → 1 — unresolved within range

Continued fraction of √n

√472,628 = [687; (2, 11, 1, 2, 85, 1, 1, 2, 4, 1, 10, 85, 1, 5, 2, 1, 6, 1, 342, 1, 6, 1, 2, 5, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-two thousand six hundred twenty-eight
Ordinal: 472628th
Binary: 1110011011000110100
Octal: 1633064
Hexadecimal: 0x73634
Base64: BzY0
One's complement: 4,294,494,667 (32-bit)
Scientific notation: 4.72628 × 10⁵
As a duration: 472,628 s = 5 days, 11 hours, 17 minutes, 8 seconds

In other bases

ternary (3) 220000022202

quaternary (4) 1303120310

quinary (5) 110111003

senary (6) 14044032

septenary (7) 4005632

nonary (9) 800282

undecimal (11) 2a3102

duodecimal (12) 1a9618

tridecimal (13) 137180

tetradecimal (14) c4352

pentadecimal (15) 95088

As an angle

472,628° = 1,312 × 360° + 308°

308° ≈ 5.376 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοβχκηʹ
Chinese: 四十七萬二千六百二十八
Chinese (financial): 肆拾柒萬貳仟陸佰貳拾捌

In other modern scripts

Eastern Arabic ٤٧٢٦٢٨ Devanagari ४७२६२८ Bengali ৪৭২৬২৮ Tamil ௪௭௨௬௨௮ Thai ๔๗๒๖๒๘ Tibetan ༤༧༢༦༢༨ Khmer ៤៧២៦២៨ Lao ໔໗໒໖໒໘ Burmese ၄၇၂၆၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472628, here are decompositions:

31 + 472597 = 472628
67 + 472561 = 472628
151 + 472477 = 472628
229 + 472399 = 472628
367 + 472261 = 472628
379 + 472249 = 472628
439 + 472189 = 472628
571 + 472057 = 472628

Showing the first eight; more decompositions exist.

Hex color

#073634

RGB(7, 54, 52)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.54.52.

Address: 0.7.54.52
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.54.52

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 472,628 and was likely granted around 1891.

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

Look up US472,628 on Google Patents ↗ Look up on USPTO ↗