Live analysis

472,480

472,480 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.).

472,480 (four hundred seventy-two thousand four hundred eighty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 2,953. Its proper divisors sum to 644,132, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x735A0.

Abundant Number Gapful Number Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

472,468 472,469 472,470 472,471 472,472 472,473 472,474 472,475 472,476 472,477 472,478 472,479 472,480 472,481 472,482 472,483 472,484 472,485 472,486 472,487 472,488 472,489 472,490 472,491 472,492

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Properties

Parity: Even
Digit count: 6
Digit sum: 25
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 19 bits
Reversed: 84,274
Square (n²): 223,237,350,400
Cube (n³): 105,475,183,316,992,000
Divisor count: 24
σ(n) — sum of divisors: 1,116,612
φ(n) — Euler's totient: 188,928
Sum of prime factors: 2,968

Primality

Prime factorization: 2 ⁵ × 5 × 2953

Nearest primes: 472,477 (−3) · 472,523 (+43)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 160 · 2953 · 5906 · 11812 · 14765 · 23624 · 29530 · 47248 · 59060 · 94496 · 118120 · 236240 (half) · 472480

Aliquot sum (sum of proper divisors): 644,132

Factor pairs (a × b = 472,480)

1 × 472480

2 × 236240

4 × 118120

5 × 94496

8 × 59060

10 × 47248

16 × 29530

20 × 23624

32 × 14765

40 × 11812

80 × 5906

160 × 2953

First multiples

472,480 · 944,960 (double) · 1,417,440 · 1,889,920 · 2,362,400 · 2,834,880 · 3,307,360 · 3,779,840 · 4,252,320 · 4,724,800

Sums & aliquot sequence

As a sum of two squares: 68² + 684² = 356² + 588²

As consecutive integers: 94,494 + 94,495 + 94,496 + 94,497 + 94,498 7,351 + 7,352 + … + 7,414 1,317 + 1,318 + … + 1,636

Aliquot sequence: 472,480 → 644,132 → 483,106 → 343,958 → 174,922 → 111,350 → 109,618 → 62,030 → 49,642 → 24,824 → 23,776 → 23,096 → 20,224 → 20,656 → 19,396 → 17,256 → 25,944 — unresolved within range

Continued fraction of √n

√472,480 = [687; (2, 1, 2, 4, 1, 1, 13, 1, 11, 2, 4, 1, 10, 3, 1, 2, 1, 1, 13, 1, 2, 1, 8, 1, …)]

Representations

In words: four hundred seventy-two thousand four hundred eighty
Ordinal: 472480th
Binary: 1110011010110100000
Octal: 1632640
Hexadecimal: 0x735A0
Base64: BzWg
One's complement: 4,294,494,815 (32-bit)
Scientific notation: 4.7248 × 10⁵
As a duration: 472,480 s = 5 days, 11 hours, 14 minutes, 40 seconds

In other bases

ternary (3) 220000010021

quaternary (4) 1303112200

quinary (5) 110104410

senary (6) 14043224

septenary (7) 4005331

nonary (9) 800107

undecimal (11) 2a2a88

duodecimal (12) 1a9514

tridecimal (13) 137098

tetradecimal (14) c4288

pentadecimal (15) 94eda

As an angle

472,480° = 1,312 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵υοβυπʹ
Chinese: 四十七萬二千四百八十
Chinese (financial): 肆拾柒萬貳仟肆佰捌拾

In other modern scripts

Eastern Arabic ٤٧٢٤٨٠ Devanagari ४७२४८० Bengali ৪৭২৪৮০ Tamil ௪௭௨௪௮௦ Thai ๔๗๒๔๘๐ Tibetan ༤༧༢༤༨༠ Khmer ៤៧២៤៨០ Lao ໔໗໒໔໘໐ Burmese ၄၇၂၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472480, here are decompositions:

3 + 472477 = 472480
11 + 472469 = 472480
23 + 472457 = 472480
59 + 472421 = 472480
89 + 472391 = 472480
131 + 472349 = 472480
149 + 472331 = 472480
179 + 472301 = 472480

Showing the first eight; more decompositions exist.

Hex color

#0735A0

RGB(7, 53, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.160.

Address: 0.7.53.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.53.160

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 472,480 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 US472,480 on Google Patents ↗ Look up on USPTO ↗