Live analysis

472,032

472,032 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.).

472,032 (four hundred seventy-two thousand thirty-two) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 11 × 149. Its proper divisors sum to 1,002,168, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x733E0.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

472,020 472,021 472,022 472,023 472,024 472,025 472,026 472,027 472,028 472,029 472,030 472,031 472,032 472,033 472,034 472,035 472,036 472,037 472,038 472,039 472,040 472,041 472,042 472,043 472,044

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 230,274
Square (n²): 222,814,209,024
Cube (n³): 105,175,436,714,016,768
Divisor count: 72
σ(n) — sum of divisors: 1,474,200
φ(n) — Euler's totient: 142,080
Sum of prime factors: 176

Primality

Prime factorization: 2 ⁵ × 3 ² × 11 × 149

Nearest primes: 472,027 (−5) · 472,051 (+19)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 16 · 18 · 22 · 24 · 32 · 33 · 36 · 44 · 48 · 66 · 72 · 88 · 96 · 99 · 132 · 144 · 149 · 176 · 198 · 264 · 288 · 298 · 352 · 396 · 447 · 528 · 596 · 792 · 894 · 1056 · 1192 · 1341 · 1584 · 1639 · 1788 · 2384 · 2682 · 3168 · 3278 · 3576 · 4768 · 4917 · 5364 · 6556 · 7152 · 9834 · 10728 · 13112 · 14304 · 14751 · 19668 · 21456 · 26224 · 29502 · 39336 · 42912 · 52448 · 59004 · 78672 · 118008 · 157344 · 236016 (half) · 472032

Aliquot sum (sum of proper divisors): 1,002,168

Factor pairs (a × b = 472,032)

1 × 472032

2 × 236016

3 × 157344

4 × 118008

6 × 78672

8 × 59004

9 × 52448

11 × 42912

12 × 39336

16 × 29502

18 × 26224

22 × 21456

24 × 19668

32 × 14751

33 × 14304

36 × 13112

44 × 10728

48 × 9834

66 × 7152

72 × 6556

88 × 5364

96 × 4917

99 × 4768

132 × 3576

144 × 3278

149 × 3168

176 × 2682

198 × 2384

264 × 1788

288 × 1639

298 × 1584

352 × 1341

396 × 1192

447 × 1056

528 × 894

596 × 792

First multiples

472,032 · 944,064 (double) · 1,416,096 · 1,888,128 · 2,360,160 · 2,832,192 · 3,304,224 · 3,776,256 · 4,248,288 · 4,720,320

Sums & aliquot sequence

As consecutive integers: 157,343 + 157,344 + 157,345 52,444 + 52,445 + … + 52,452 42,907 + 42,908 + … + 42,917 14,288 + 14,289 + … + 14,320

Aliquot sequence: 472,032 → 1,002,168 → 1,805,832 → 3,785,208 → 7,030,152 → 13,733,448 → 20,709,912 → 31,064,928 → 51,058,848 → 82,970,880 → 213,719,808 → 357,300,208 → 334,968,976 → 314,033,446 → 157,016,726 → 92,362,834 → 46,521,386 — unresolved within range

Continued fraction of √n

√472,032 = [687; (21, 1, 4, 3, 1, 2, 2, 1, 4, 1, 3, 343, 3, 1, 4, 1, 2, 2, 1, 3, 4, 1, 21, 1374)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-two thousand thirty-two
Ordinal: 472032nd
Binary: 1110011001111100000
Octal: 1631740
Hexadecimal: 0x733E0
Base64: BzPg
One's complement: 4,294,495,263 (32-bit)
Scientific notation: 4.72032 × 10⁵
As a duration: 472,032 s = 5 days, 11 hours, 7 minutes, 12 seconds

In other bases

ternary (3) 212222111200

quaternary (4) 1303033200

quinary (5) 110101112

senary (6) 14041200

septenary (7) 4004121

nonary (9) 788450

undecimal (11) 2a2710

duodecimal (12) 1a9200

tridecimal (13) 136b12

tetradecimal (14) c4048

pentadecimal (15) 94cdc

As an angle

472,032° = 1,311 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵υοβλβʹ
Chinese: 四十七萬二千零三十二
Chinese (financial): 肆拾柒萬貳仟零參拾貳

In other modern scripts

Eastern Arabic ٤٧٢٠٣٢ Devanagari ४७२०३२ Bengali ৪৭২০৩২ Tamil ௪௭௨௦௩௨ Thai ๔๗๒๐๓๒ Tibetan ༤༧༢༠༣༢ Khmer ៤៧២០៣២ Lao ໔໗໒໐໓໒ Burmese ၄၇၂၀၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472032, here are decompositions:

5 + 472027 = 472032
13 + 472019 = 472032
73 + 471959 = 472032
83 + 471949 = 472032
89 + 471943 = 472032
101 + 471931 = 472032
103 + 471929 = 472032
109 + 471923 = 472032

Showing the first eight; more decompositions exist.

Hex color

#0733E0

RGB(7, 51, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.51.224.

Address: 0.7.51.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.51.224

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 472,032 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 US472,032 on Google Patents ↗ Look up on USPTO ↗