Live analysis

472,064

472,064 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.).

472,064 (four hundred seventy-two thousand sixty-four) is an even 6-digit number. It is a composite number with 22 divisors, and factors as 2¹⁰ × 461. Its proper divisors sum to 473,650, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73400.

Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

472,052 472,053 472,054 472,055 472,056 472,057 472,058 472,059 472,060 472,061 472,062 472,063 472,064 472,065 472,066 472,067 472,068 472,069 472,070 472,071 472,072 472,073 472,074 472,075 472,076

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 23
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 19 bits
Reversed: 460,274
Square (n²): 222,844,420,096
Cube (n³): 105,196,828,328,198,144
Divisor count: 22
σ(n) — sum of divisors: 945,714
φ(n) — Euler's totient: 235,520
Sum of prime factors: 481

Primality

Prime factorization: 2 ¹⁰ × 461

Nearest primes: 472,063 (−1) · 472,067 (+3)

Divisors & multiples

All divisors (22)

1 · 2 · 4 · 8 · 16 · 32 · 64 · 128 · 256 · 461 · 512 · 922 · 1024 · 1844 · 3688 · 7376 · 14752 · 29504 · 59008 · 118016 · 236032 (half) · 472064

Aliquot sum (sum of proper divisors): 473,650

Factor pairs (a × b = 472,064)

1 × 472064

2 × 236032

4 × 118016

8 × 59008

16 × 29504

32 × 14752

64 × 7376

128 × 3688

256 × 1844

461 × 1024

512 × 922

First multiples

472,064 · 944,128 (double) · 1,416,192 · 1,888,256 · 2,360,320 · 2,832,384 · 3,304,448 · 3,776,512 · 4,248,576 · 4,720,640

Sums & aliquot sequence

As a sum of two squares: 320² + 608²

As consecutive integers: 794 + 795 + … + 1,254

Aliquot sequence: 472,064 → 473,650 → 407,432 → 356,518 → 178,262 → 154,162 → 77,084 → 77,140 → 124,460 → 181,972 → 191,212 → 191,268 → 453,852 → 858,004 → 858,060 → 2,206,260 → 5,970,636 — unresolved within range

Continued fraction of √n

√472,064 = [687; (14, 2, 6, 2, 2, 1, 2, 1, 1, 1, 1, 1, 14, 3, 6, 15, 3, 1, 1, 4, 2, 13, 3, 2, …)]

Representations

In words: four hundred seventy-two thousand sixty-four
Ordinal: 472064th
Binary: 1110011010000000000
Octal: 1632000
Hexadecimal: 0x73400
Base64: BzQA
One's complement: 4,294,495,231 (32-bit)
Scientific notation: 4.72064 × 10⁵
As a duration: 472,064 s = 5 days, 11 hours, 7 minutes, 44 seconds

In other bases

ternary (3) 212222112212

quaternary (4) 1303100000

quinary (5) 110101224

senary (6) 14041252

septenary (7) 4004165

nonary (9) 788485

undecimal (11) 2a273a

duodecimal (12) 1a9228

tridecimal (13) 136b38

tetradecimal (14) c406c

pentadecimal (15) 94d0e

As an angle

472,064° = 1,311 × 360° + 104°

104° ≈ 1.815 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοβξδʹ
Chinese: 四十七萬二千零六十四
Chinese (financial): 肆拾柒萬貳仟零陸拾肆

In other modern scripts

Eastern Arabic ٤٧٢٠٦٤ Devanagari ४७२०६४ Bengali ৪৭২০৬৪ Tamil ௪௭௨௦௬௪ Thai ๔๗๒๐๖๔ Tibetan ༤༧༢༠༦༤ Khmer ៤៧២០៦៤ Lao ໔໗໒໐໖໔ Burmese ၄၇၂၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472064, here are decompositions:

7 + 472057 = 472064
13 + 472051 = 472064
37 + 472027 = 472064
67 + 471997 = 472064
157 + 471907 = 472064
163 + 471901 = 472064
193 + 471871 = 472064
211 + 471853 = 472064

Showing the first eight; more decompositions exist.

Hex color

#073400

RGB(7, 52, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.0.

Address: 0.7.52.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.52.0

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 472,064 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 US472,064 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 472064 first appears in π at position 201,781 of the decimal expansion (the 201,781ordinal-suffix:st 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.

Look up 472064 on Pi Search ↗