Live analysis

470,272

470,272 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.).

470,272 (four hundred seventy thousand two hundred seventy-two) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁸ × 11 × 167. Its proper divisors sum to 559,904, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72D00.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

470,260 470,261 470,262 470,263 470,264 470,265 470,266 470,267 470,268 470,269 470,270 470,271 470,272 470,273 470,274 470,275 470,276 470,277 470,278 470,279 470,280 470,281 470,282 470,283 470,284

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 19 bits
Reversed: 272,074
Square (n²): 221,155,753,984
Cube (n³): 104,003,358,737,563,648
Divisor count: 36
σ(n) — sum of divisors: 1,030,176
φ(n) — Euler's totient: 212,480
Sum of prime factors: 194

Primality

Prime factorization: 2 ⁸ × 11 × 167

Nearest primes: 470,263 (−9) · 470,279 (+7)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 8 · 11 · 16 · 22 · 32 · 44 · 64 · 88 · 128 · 167 · 176 · 256 · 334 · 352 · 668 · 704 · 1336 · 1408 · 1837 · 2672 · 2816 · 3674 · 5344 · 7348 · 10688 · 14696 · 21376 · 29392 · 42752 · 58784 · 117568 · 235136 (half) · 470272

Aliquot sum (sum of proper divisors): 559,904

Factor pairs (a × b = 470,272)

1 × 470272

2 × 235136

4 × 117568

8 × 58784

11 × 42752

16 × 29392

22 × 21376

32 × 14696

44 × 10688

64 × 7348

88 × 5344

128 × 3674

167 × 2816

176 × 2672

256 × 1837

334 × 1408

352 × 1336

668 × 704

First multiples

470,272 · 940,544 (double) · 1,410,816 · 1,881,088 · 2,351,360 · 2,821,632 · 3,291,904 · 3,762,176 · 4,232,448 · 4,702,720

Sums & aliquot sequence

As consecutive integers: 42,747 + 42,748 + … + 42,757 2,733 + 2,734 + … + 2,899 663 + 664 + … + 1,174

Aliquot sequence: 470,272 → 559,904 → 542,470 → 491,738 → 302,650 → 260,372 → 292,012 → 292,068 → 610,652 → 627,844 → 702,716 → 702,772 → 777,868 → 898,324 → 898,380 → 2,456,244 → 5,310,060 — unresolved within range

Continued fraction of √n

√470,272 = [685; (1, 3, 4, 3, 1, 1, 1, 1, 1, 1, 2, 2, 4, 1, 1, 1, 3, 1, 2, 3, 1, 1, 9, 37, …)]

Representations

In words: four hundred seventy thousand two hundred seventy-two
Ordinal: 470272nd
Binary: 1110010110100000000
Octal: 1626400
Hexadecimal: 0x72D00
Base64: By0A
One's complement: 4,294,497,023 (32-bit)
Scientific notation: 4.70272 × 10⁵
As a duration: 470,272 s = 5 days, 10 hours, 37 minutes, 52 seconds

In other bases

ternary (3) 212220002111

quaternary (4) 1302310000

quinary (5) 110022042

senary (6) 14025104

septenary (7) 3666025

nonary (9) 786074

undecimal (11) 2a1360

duodecimal (12) 1a8194

tridecimal (13) 13608a

tetradecimal (14) c354c

pentadecimal (15) 94517

As an angle

470,272° = 1,306 × 360° + 112°

112° ≈ 1.955 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵υοσοβʹ
Chinese: 四十七萬零二百七十二
Chinese (financial): 肆拾柒萬零貳佰柒拾貳

In other modern scripts

Eastern Arabic ٤٧٠٢٧٢ Devanagari ४७०२७२ Bengali ৪৭০২৭২ Tamil ௪௭௦௨௭௨ Thai ๔๗๐๒๗๒ Tibetan ༤༧༠༢༧༢ Khmer ៤៧០២៧២ Lao ໔໗໐໒໗໒ Burmese ၄၇၀၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470272, here are decompositions:

29 + 470243 = 470272
53 + 470219 = 470272
59 + 470213 = 470272
71 + 470201 = 470272
191 + 470081 = 470272
233 + 470039 = 470272
251 + 470021 = 470272
293 + 469979 = 470272

Showing the first eight; more decompositions exist.

Hex color

#072D00

RGB(7, 45, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.45.0.

Address: 0.7.45.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.45.0

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 470,272 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 US470,272 on Google Patents ↗ Look up on USPTO ↗