Live analysis

472,820

472,820 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.).

472,820 (four hundred seventy-two thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 47 × 503. Its proper divisors sum to 543,244, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x736F4.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

472,808 472,809 472,810 472,811 472,812 472,813 472,814 472,815 472,816 472,817 472,818 472,819 472,820 472,821 472,822 472,823 472,824 472,825 472,826 472,827 472,828 472,829 472,830 472,831 472,832

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Properties

Parity: Even
Digit count: 6
Digit sum: 23
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 19 bits
Reversed: 28,274
Square (n²): 223,558,752,400
Cube (n³): 105,703,049,309,768,000
Divisor count: 24
σ(n) — sum of divisors: 1,016,064
φ(n) — Euler's totient: 184,736
Sum of prime factors: 559

Primality

Prime factorization: 2 ² × 5 × 47 × 503

Nearest primes: 472,817 (−3) · 472,831 (+11)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 20 · 47 · 94 · 188 · 235 · 470 · 503 · 940 · 1006 · 2012 · 2515 · 5030 · 10060 · 23641 · 47282 · 94564 · 118205 · 236410 (half) · 472820

Aliquot sum (sum of proper divisors): 543,244

Factor pairs (a × b = 472,820)

1 × 472820

2 × 236410

4 × 118205

5 × 94564

10 × 47282

20 × 23641

47 × 10060

94 × 5030

188 × 2515

235 × 2012

470 × 1006

503 × 940

First multiples

472,820 · 945,640 (double) · 1,418,460 · 1,891,280 · 2,364,100 · 2,836,920 · 3,309,740 · 3,782,560 · 4,255,380 · 4,728,200

Sums & aliquot sequence

As consecutive integers: 94,562 + 94,563 + 94,564 + 94,565 + 94,566 59,099 + 59,100 + … + 59,106 11,801 + 11,802 + … + 11,840 10,037 + 10,038 + … + 10,083

Aliquot sequence: 472,820 → 543,244 → 516,724 → 510,316 → 382,744 → 334,916 → 257,704 → 225,506 → 120,094 → 81,506 → 42,478 → 22,394 → 11,200 → 20,296 → 19,304 → 19,096 → 26,984 — unresolved within range

Continued fraction of √n

√472,820 = [687; (1, 1, 1, 1, 1, 2, 68, 2, 1, 1, 1, 1, 1, 1374)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-two thousand eight hundred twenty
Ordinal: 472820th
Binary: 1110011011011110100
Octal: 1633364
Hexadecimal: 0x736F4
Base64: Bzb0
One's complement: 4,294,494,475 (32-bit)
Scientific notation: 4.7282 × 10⁵
As a duration: 472,820 s = 5 days, 11 hours, 20 minutes, 20 seconds

In other bases

ternary (3) 220000120212

quaternary (4) 1303123310

quinary (5) 110112240

senary (6) 14044552

septenary (7) 4006325

nonary (9) 800525

undecimal (11) 2a3267

duodecimal (12) 1a9758

tridecimal (13) 13729a

tetradecimal (14) c444c

pentadecimal (15) 95165

Palindromic in base 14

As an angle

472,820° = 1,313 × 360° + 140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵υοβωκʹ
Chinese: 四十七萬二千八百二十
Chinese (financial): 肆拾柒萬貳仟捌佰貳拾

In other modern scripts

Eastern Arabic ٤٧٢٨٢٠ Devanagari ४७२८२० Bengali ৪৭২৮২০ Tamil ௪௭௨௮௨௦ Thai ๔๗๒๘๒๐ Tibetan ༤༧༢༨༢༠ Khmer ៤៧២៨២០ Lao ໔໗໒໘໒໐ Burmese ၄၇၂၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472820, here are decompositions:

3 + 472817 = 472820
79 + 472741 = 472820
109 + 472711 = 472820
151 + 472669 = 472820
181 + 472639 = 472820
223 + 472597 = 472820
277 + 472543 = 472820
409 + 472411 = 472820

Showing the first eight; more decompositions exist.

Hex color

#0736F4

RGB(7, 54, 244)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.54.244.

Address: 0.7.54.244
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.54.244

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 472,820 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 US472,820 on Google Patents ↗ Look up on USPTO ↗