Live analysis

472,428

472,428 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.).

472,428 (four hundred seventy-two thousand four hundred twenty-eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 11 × 1,193. Its proper divisors sum to 831,420, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7356C.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

472,416 472,417 472,418 472,419 472,420 472,421 472,422 472,423 472,424 472,425 472,426 472,427 472,428 472,429 472,430 472,431 472,432 472,433 472,434 472,435 472,436 472,437 472,438 472,439 472,440

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Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 3,584
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 824,274
Square (n²): 223,188,215,184
Cube (n³): 105,440,362,122,946,752
Divisor count: 36
σ(n) — sum of divisors: 1,303,848
φ(n) — Euler's totient: 143,040
Sum of prime factors: 1,214

Primality

Prime factorization: 2 ² × 3 ² × 11 × 1193

Nearest primes: 472,421 (−7) · 472,457 (+29)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 11 · 12 · 18 · 22 · 33 · 36 · 44 · 66 · 99 · 132 · 198 · 396 · 1193 · 2386 · 3579 · 4772 · 7158 · 10737 · 13123 · 14316 · 21474 · 26246 · 39369 · 42948 · 52492 · 78738 · 118107 · 157476 · 236214 (half) · 472428

Aliquot sum (sum of proper divisors): 831,420

Factor pairs (a × b = 472,428)

1 × 472428

2 × 236214

3 × 157476

4 × 118107

6 × 78738

9 × 52492

11 × 42948

12 × 39369

18 × 26246

22 × 21474

33 × 14316

36 × 13123

44 × 10737

66 × 7158

99 × 4772

132 × 3579

198 × 2386

396 × 1193

First multiples

472,428 · 944,856 (double) · 1,417,284 · 1,889,712 · 2,362,140 · 2,834,568 · 3,306,996 · 3,779,424 · 4,251,852 · 4,724,280

Sums & aliquot sequence

As consecutive integers: 157,475 + 157,476 + 157,477 59,050 + 59,051 + … + 59,057 52,488 + 52,489 + … + 52,496 42,943 + 42,944 + … + 42,953

Aliquot sequence: 472,428 → 831,420 → 1,789,380 → 3,638,952 → 7,074,648 → 15,389,352 → 34,791,768 → 71,874,792 → 142,244,568 → 243,001,332 → 507,700,620 → 1,328,956,020 → 3,376,323,468 → 6,544,977,012 → 12,847,549,708 — keeps growing

Continued fraction of √n

√472,428 = [687; (2, 1, 171, 5, 1, 342, 1, 5, 171, 1, 2, 1374)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-two thousand four hundred twenty-eight
Ordinal: 472428th
Binary: 1110011010101101100
Octal: 1632554
Hexadecimal: 0x7356C
Base64: BzVs
One's complement: 4,294,494,867 (32-bit)
Scientific notation: 4.72428 × 10⁵
As a duration: 472,428 s = 5 days, 11 hours, 13 minutes, 48 seconds

In other bases

ternary (3) 220000001100

quaternary (4) 1303111230

quinary (5) 110104203

senary (6) 14043100

septenary (7) 4005225

nonary (9) 800040

undecimal (11) 2a2a40

duodecimal (12) 1a9490

tridecimal (13) 137058

tetradecimal (14) c424c

pentadecimal (15) 94ea3

Palindromic in base 14

As an angle

472,428° = 1,312 × 360° + 108°

108° ≈ 1.885 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοβυκηʹ
Chinese: 四十七萬二千四百二十八
Chinese (financial): 肆拾柒萬貳仟肆佰貳拾捌

In other modern scripts

Eastern Arabic ٤٧٢٤٢٨ Devanagari ४७२४२८ Bengali ৪৭২৪২৮ Tamil ௪௭௨௪௨௮ Thai ๔๗๒๔๒๘ Tibetan ༤༧༢༤༢༨ Khmer ៤៧២៤២៨ Lao ໔໗໒໔໒໘ Burmese ၄၇၂၄၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472428, here are decompositions:

7 + 472421 = 472428
17 + 472411 = 472428
29 + 472399 = 472428
37 + 472391 = 472428
59 + 472369 = 472428
79 + 472349 = 472428
97 + 472331 = 472428
109 + 472319 = 472428

Showing the first eight; more decompositions exist.

Hex color

#07356C

RGB(7, 53, 108)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.108.

Address: 0.7.53.108
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.53.108

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 472,428 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 US472,428 on Google Patents ↗ Look up on USPTO ↗