Live analysis

472,816

472,816 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.).

472,816 (four hundred seventy-two thousand eight hundred sixteen) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 29 × 1,019. Its proper divisors sum to 475,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x736F0.

Abundant Number Arithmetic Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

472,804 472,805 472,806 472,807 472,808 472,809 472,810 472,811 472,812 472,813 472,814 472,815 472,816 472,817 472,818 472,819 472,820 472,821 472,822 472,823 472,824 472,825 472,826 472,827 472,828

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Properties

Parity: Even
Digit count: 6
Digit sum: 28
Digit product: 2,688
Digital root: 1
Palindrome: No
Bit width: 19 bits
Reversed: 618,274
Square (n²): 223,554,969,856
Cube (n³): 105,700,366,627,434,496
Divisor count: 20
σ(n) — sum of divisors: 948,600
φ(n) — Euler's totient: 228,032
Sum of prime factors: 1,056

Primality

Prime factorization: 2 ⁴ × 29 × 1019

Nearest primes: 472,799 (−17) · 472,817 (+1)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 8 · 16 · 29 · 58 · 116 · 232 · 464 · 1019 · 2038 · 4076 · 8152 · 16304 · 29551 · 59102 · 118204 · 236408 (half) · 472816

Aliquot sum (sum of proper divisors): 475,784

Factor pairs (a × b = 472,816)

1 × 472816

2 × 236408

4 × 118204

8 × 59102

16 × 29551

29 × 16304

58 × 8152

116 × 4076

232 × 2038

464 × 1019

First multiples

472,816 · 945,632 (double) · 1,418,448 · 1,891,264 · 2,364,080 · 2,836,896 · 3,309,712 · 3,782,528 · 4,255,344 · 4,728,160

Sums & aliquot sequence

As consecutive integers: 16,290 + 16,291 + … + 16,318 14,760 + 14,761 + … + 14,791 46 + 47 + … + 973

Aliquot sequence: 472,816 → 475,784 → 416,326 → 242,618 → 121,312 → 132,704 → 184,816 → 173,296 → 162,496 → 160,084 → 129,324 → 196,036 → 147,034 → 73,520 → 97,600 → 146,494 → 75,986 — unresolved within range

Continued fraction of √n

√472,816 = [687; (1, 1, 1, 1, 1, 1, 6, 1, 8, 1, 20, 1, 13, 2, 1, 2, 3, 1, 1, 7, 13, 4, 1, 1, …)]

Representations

In words: four hundred seventy-two thousand eight hundred sixteen
Ordinal: 472816th
Binary: 1110011011011110000
Octal: 1633360
Hexadecimal: 0x736F0
Base64: Bzbw
One's complement: 4,294,494,479 (32-bit)
Scientific notation: 4.72816 × 10⁵
As a duration: 472,816 s = 5 days, 11 hours, 20 minutes, 16 seconds

In other bases

ternary (3) 220000120201

quaternary (4) 1303123300

quinary (5) 110112231

senary (6) 14044544

septenary (7) 4006321

nonary (9) 800521

undecimal (11) 2a3263

duodecimal (12) 1a9754

tridecimal (13) 137296

tetradecimal (14) c4448

pentadecimal (15) 95161

As an angle

472,816° = 1,313 × 360° + 136°

136° ≈ 2.374 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοβωιϛʹ
Chinese: 四十七萬二千八百一十六
Chinese (financial): 肆拾柒萬貳仟捌佰壹拾陸

In other modern scripts

Eastern Arabic ٤٧٢٨١٦ Devanagari ४७२८१६ Bengali ৪৭২৮১৬ Tamil ௪௭௨௮௧௬ Thai ๔๗๒๘๑๖ Tibetan ༤༧༢༨༡༦ Khmer ៤៧២៨១៦ Lao ໔໗໒໘໑໖ Burmese ၄၇၂၈၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472816, here are decompositions:

17 + 472799 = 472816
23 + 472793 = 472816
53 + 472763 = 472816
107 + 472709 = 472816
173 + 472643 = 472816
257 + 472559 = 472816
293 + 472523 = 472816
347 + 472469 = 472816

Showing the first eight; more decompositions exist.

Hex color

#0736F0

RGB(7, 54, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.54.240.

Address: 0.7.54.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.54.240

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 472,816 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 US472,816 on Google Patents ↗ Look up on USPTO ↗