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477,428

477,428 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.).

477,428 (four hundred seventy-seven thousand four hundred twenty-eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 7 × 17² × 59. Its proper divisors sum to 554,092, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x748F4.

Abundant Number Cube-Free Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
32
Digit product
12,544
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
824,774
Square (n²)
227,937,495,184
Cube (n³)
108,823,742,450,706,752
Divisor count
36
σ(n) — sum of divisors
1,031,520
φ(n) — Euler's totient
189,312
Sum of prime factors
104

Primality

Prime factorization: 2 2 × 7 × 17 2 × 59

Nearest primes: 477,409 (−19) · 477,439 (+11)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 7 · 14 · 17 · 28 · 34 · 59 · 68 · 118 · 119 · 236 · 238 · 289 · 413 · 476 · 578 · 826 · 1003 · 1156 · 1652 · 2006 · 2023 · 4012 · 4046 · 7021 · 8092 · 14042 · 17051 · 28084 · 34102 · 68204 · 119357 · 238714 (half) · 477428
Aliquot sum (sum of proper divisors): 554,092
Factor pairs (a × b = 477,428)
1 × 477428
2 × 238714
4 × 119357
7 × 68204
14 × 34102
17 × 28084
28 × 17051
34 × 14042
59 × 8092
68 × 7021
118 × 4046
119 × 4012
236 × 2023
238 × 2006
289 × 1652
413 × 1156
476 × 1003
578 × 826
First multiples
477,428 · 954,856 (double) · 1,432,284 · 1,909,712 · 2,387,140 · 2,864,568 · 3,341,996 · 3,819,424 · 4,296,852 · 4,774,280

Sums & aliquot sequence

As consecutive integers: 68,201 + 68,202 + … + 68,207 59,675 + 59,676 + … + 59,682 28,076 + 28,077 + … + 28,092 8,498 + 8,499 + … + 8,553
Aliquot sequence: 477,428 554,092 681,212 681,268 729,932 748,468 748,524 1,422,036 3,470,124 5,893,076 5,893,132 6,258,812 6,258,868 7,645,484 9,267,412 10,953,068 13,178,452 — unresolved within range

Continued fraction of √n

√477,428 = [690; (1, 25, 13, 2, 1, 1, 1, 4, 6, 2, 2, 1, 22, 1, 2, 2, 6, 4, 1, 1, 1, 2, 13, 25, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-seven thousand four hundred twenty-eight
Ordinal
477428th
Binary
1110100100011110100
Octal
1644364
Hexadecimal
0x748F4
Base64
B0j0
One's complement
4,294,489,867 (32-bit)
Scientific notation
4.77428 × 10⁵
As a duration
477,428 s = 5 days, 12 hours, 37 minutes, 8 seconds
In other bases
ternary (3) 220020220112
quaternary (4) 1310203310
quinary (5) 110234203
senary (6) 14122152
septenary (7) 4025630
nonary (9) 806815
undecimal (11) 2a6776
duodecimal (12) 1b0358
tridecimal (13) 139403
tetradecimal (14) c5dc0
pentadecimal (15) 966d8

As an angle

477,428° = 1,326 × 360° + 68°
68° ≈ 1.187 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοζυκηʹ
Chinese
四十七萬七千四百二十八
Chinese (financial)
肆拾柒萬柒仟肆佰貳拾捌
In other modern scripts
Eastern Arabic ٤٧٧٤٢٨ Devanagari ४७७४२८ Bengali ৪৭৭৪২৮ Tamil ௪௭௭௪௨௮ Thai ๔๗๗๔๒๘ Tibetan ༤༧༧༤༢༨ Khmer ៤៧៧៤២៨ Lao ໔໗໗໔໒໘ Burmese ၄၇၇၄၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 477428, here are decompositions:

  • 19 + 477409 = 477428
  • 67 + 477361 = 477428
  • 151 + 477277 = 477428
  • 199 + 477229 = 477428
  • 337 + 477091 = 477428
  • 397 + 477031 = 477428
  • 409 + 477019 = 477428
  • 439 + 476989 = 477428

Showing the first eight; more decompositions exist.

Hex color
#0748F4
RGB(7, 72, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.72.244.

Address
0.7.72.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.72.244

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 477,428 and was likely granted around 1892.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 477428 first appears in π at position 397,441 of the decimal expansion (the 397,441ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.