Live analysis

472,520

472,520 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.).

472,520 (four hundred seventy-two thousand five hundred twenty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 11,813. Its proper divisors sum to 590,740, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x735C8.

Abundant Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

472,508 472,509 472,510 472,511 472,512 472,513 472,514 472,515 472,516 472,517 472,518 472,519 472,520 472,521 472,522 472,523 472,524 472,525 472,526 472,527 472,528 472,529 472,530 472,531 472,532

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Properties

Parity: Even
Digit count: 6
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 19 bits
Reversed: 25,274
Square (n²): 223,275,150,400
Cube (n³): 105,501,974,067,008,000
Divisor count: 16
σ(n) — sum of divisors: 1,063,260
φ(n) — Euler's totient: 188,992
Sum of prime factors: 11,824

Primality

Prime factorization: 2 ³ × 5 × 11813

Nearest primes: 472,477 (−43) · 472,523 (+3)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 11813 · 23626 · 47252 · 59065 · 94504 · 118130 · 236260 (half) · 472520

Aliquot sum (sum of proper divisors): 590,740

Factor pairs (a × b = 472,520)

1 × 472520

2 × 236260

4 × 118130

5 × 94504

8 × 59065

10 × 47252

20 × 23626

40 × 11813

First multiples

472,520 · 945,040 (double) · 1,417,560 · 1,890,080 · 2,362,600 · 2,835,120 · 3,307,640 · 3,780,160 · 4,252,680 · 4,725,200

Sums & aliquot sequence

As a sum of two squares: 86² + 682² = 478² + 494²

As consecutive integers: 94,502 + 94,503 + 94,504 + 94,505 + 94,506 29,525 + 29,526 + … + 29,540 5,867 + 5,868 + … + 5,946

Aliquot sequence: 472,520 → 590,740 → 649,856 → 645,034 → 396,986 → 251,974 → 148,274 → 128,746 → 64,376 → 65,824 → 84,998 → 42,502 → 22,298 → 11,152 → 12,284 → 10,060 → 11,108 — unresolved within range

Continued fraction of √n

√472,520 = [687; (2, 2, 43, 1, 18, 2, 1, 1, 2, 4, 8, 6, 2, 5, 4, 7, 1, 8, 1, 1, 1, 1, 13, 1, …)]

Representations

In words: four hundred seventy-two thousand five hundred twenty
Ordinal: 472520th
Binary: 1110011010111001000
Octal: 1632710
Hexadecimal: 0x735C8
Base64: BzXI
One's complement: 4,294,494,775 (32-bit)
Scientific notation: 4.7252 × 10⁵
As a duration: 472,520 s = 5 days, 11 hours, 15 minutes, 20 seconds

In other bases

ternary (3) 220000011202

quaternary (4) 1303113020

quinary (5) 110110040

senary (6) 14043332

septenary (7) 4005416

nonary (9) 800152

undecimal (11) 2a3014

duodecimal (12) 1a9548

tridecimal (13) 1370c9

tetradecimal (14) c42b6

pentadecimal (15) 95015

As an angle

472,520° = 1,312 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵υοβφκʹ
Chinese: 四十七萬二千五百二十
Chinese (financial): 肆拾柒萬貳仟伍佰貳拾

In other modern scripts

Eastern Arabic ٤٧٢٥٢٠ Devanagari ४७२५२० Bengali ৪৭২৫২০ Tamil ௪௭௨௫௨௦ Thai ๔๗๒๕๒๐ Tibetan ༤༧༢༥༢༠ Khmer ៤៧២៥២០ Lao ໔໗໒໕໒໐ Burmese ၄၇၂၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472520, here are decompositions:

43 + 472477 = 472520
109 + 472411 = 472520
127 + 472393 = 472520
151 + 472369 = 472520
211 + 472309 = 472520
271 + 472249 = 472520
331 + 472189 = 472520
397 + 472123 = 472520

Showing the first eight; more decompositions exist.

Hex color

#0735C8

RGB(7, 53, 200)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.200.

Address: 0.7.53.200
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.53.200

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 472,520 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 US472,520 on Google Patents ↗ Look up on USPTO ↗