Live analysis

472,388

472,388 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.).

472,388 (four hundred seventy-two thousand three hundred eighty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 16,871. Its proper divisors sum to 472,444, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73544.

Abundant Number Arithmetic Number Cube-Free Odious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

472,376 472,377 472,378 472,379 472,380 472,381 472,382 472,383 472,384 472,385 472,386 472,387 472,388 472,389 472,390 472,391 472,392 472,393 472,394 472,395 472,396 472,397 472,398 472,399 472,400

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 32
Digit product: 10,752
Digital root: 5
Palindrome: No
Bit width: 19 bits
Reversed: 883,274
Recamán's sequence: a(137,312) = 472,388
Square (n²): 223,150,422,544
Cube (n³): 105,413,581,804,715,072
Divisor count: 12
σ(n) — sum of divisors: 944,832
φ(n) — Euler's totient: 202,440
Sum of prime factors: 16,882

Primality

Prime factorization: 2 ² × 7 × 16871

Nearest primes: 472,369 (−19) · 472,391 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 14 · 28 · 16871 · 33742 · 67484 · 118097 · 236194 (half) · 472388

Aliquot sum (sum of proper divisors): 472,444

Factor pairs (a × b = 472,388)

1 × 472388

2 × 236194

4 × 118097

7 × 67484

14 × 33742

28 × 16871

First multiples

472,388 · 944,776 (double) · 1,417,164 · 1,889,552 · 2,361,940 · 2,834,328 · 3,306,716 · 3,779,104 · 4,251,492 · 4,723,880

Sums & aliquot sequence

As consecutive integers: 67,481 + 67,482 + … + 67,487 59,045 + 59,046 + … + 59,052 8,408 + 8,409 + … + 8,463

Aliquot sequence: 472,388 → 472,444 → 495,236 → 539,644 → 539,700 → 1,251,852 → 2,147,628 → 3,742,676 → 3,783,724 → 4,229,876 → 4,405,324 → 5,206,964 → 5,820,556 → 5,820,612 → 10,841,628 → 19,595,492 → 22,649,032 — unresolved within range

Continued fraction of √n

√472,388 = [687; (3, 3, 1, 1, 2, 1, 43, 1, 1, 1, 1, 1, 6, 3, 1, 1, 6, 1, 3, 1, 1, 2, 7, 1, …)]

Representations

In words: four hundred seventy-two thousand three hundred eighty-eight
Ordinal: 472388th
Binary: 1110011010101000100
Octal: 1632504
Hexadecimal: 0x73544
Base64: BzVE
One's complement: 4,294,494,907 (32-bit)
Scientific notation: 4.72388 × 10⁵
As a duration: 472,388 s = 5 days, 11 hours, 13 minutes, 8 seconds

In other bases

ternary (3) 212222222212

quaternary (4) 1303111010

quinary (5) 110104023

senary (6) 14042552

septenary (7) 4005140

nonary (9) 788885

undecimal (11) 2a2a04

duodecimal (12) 1a9458

tridecimal (13) 137027

tetradecimal (14) c4220

pentadecimal (15) 94e78

Palindromic in base 3

As an angle

472,388° = 1,312 × 360° + 68°

68° ≈ 1.187 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοβτπηʹ
Chinese: 四十七萬二千三百八十八
Chinese (financial): 肆拾柒萬貳仟參佰捌拾捌

In other modern scripts

Eastern Arabic ٤٧٢٣٨٨ Devanagari ४७२३८८ Bengali ৪৭২৩৮৮ Tamil ௪௭௨௩௮௮ Thai ๔๗๒๓๘๘ Tibetan ༤༧༢༣༨༨ Khmer ៤៧២៣៨៨ Lao ໔໗໒໓໘໘ Burmese ၄၇၂၃၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472388, here are decompositions:

19 + 472369 = 472388
79 + 472309 = 472388
127 + 472261 = 472388
139 + 472249 = 472388
199 + 472189 = 472388
229 + 472159 = 472388
277 + 472111 = 472388
331 + 472057 = 472388

Showing the first eight; more decompositions exist.

Hex color

#073544

RGB(7, 53, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.68.

Address: 0.7.53.68
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.53.68

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 472,388 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 US472,388 on Google Patents ↗ Look up on USPTO ↗