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508,428

508,428 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.).

508,428 (five hundred eight thousand four hundred twenty-eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 29 × 487. Its proper divisors sum to 823,812, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7C20C.

Abundant Number Cube-Free Evil Number Gapful Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
824,805
Square (n²)
258,499,031,184
Cube (n³)
131,428,145,426,818,752
Divisor count
36
σ(n) — sum of divisors
1,332,240
φ(n) — Euler's totient
163,296
Sum of prime factors
526

Primality

Prime factorization: 2 2 × 3 2 × 29 × 487

Nearest primes: 508,393 (−35) · 508,433 (+5)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 29 · 36 · 58 · 87 · 116 · 174 · 261 · 348 · 487 · 522 · 974 · 1044 · 1461 · 1948 · 2922 · 4383 · 5844 · 8766 · 14123 · 17532 · 28246 · 42369 · 56492 · 84738 · 127107 · 169476 · 254214 (half) · 508428
Aliquot sum (sum of proper divisors): 823,812
Factor pairs (a × b = 508,428)
1 × 508428
2 × 254214
3 × 169476
4 × 127107
6 × 84738
9 × 56492
12 × 42369
18 × 28246
29 × 17532
36 × 14123
58 × 8766
87 × 5844
116 × 4383
174 × 2922
261 × 1948
348 × 1461
487 × 1044
522 × 974
First multiples
508,428 · 1,016,856 (double) · 1,525,284 · 2,033,712 · 2,542,140 · 3,050,568 · 3,558,996 · 4,067,424 · 4,575,852 · 5,084,280

Sums & aliquot sequence

As consecutive integers: 169,475 + 169,476 + 169,477 63,550 + 63,551 + … + 63,557 56,488 + 56,489 + … + 56,496 21,173 + 21,174 + … + 21,196
Aliquot sequence: 508,428 823,812 1,300,044 1,760,244 2,435,724 4,217,076 6,716,364 8,997,684 11,996,940 22,033,140 39,659,820 80,332,500 153,917,516 115,583,716 94,732,572 147,695,460 303,449,052 — unresolved within range

Continued fraction of √n

√508,428 = [713; (24, 5, 1, 7, 22, 1, 1, 28, 1, 1, 2, 5, 15, 3, 5, 1, 21, 1, 3, 1, 6, 4, 2, 2, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
five hundred eight thousand four hundred twenty-eight
Ordinal
508428th
Binary
1111100001000001100
Octal
1741014
Hexadecimal
0x7C20C
Base64
B8IM
One's complement
4,294,458,867 (32-bit)
Scientific notation
5.08428 × 10⁵
As a duration
508,428 s = 5 days, 21 hours, 13 minutes, 48 seconds
In other bases
ternary (3) 221211102200
quaternary (4) 1330020030
quinary (5) 112232203
senary (6) 14521500
septenary (7) 4215204
nonary (9) 854380
undecimal (11) 317a98
duodecimal (12) 206290
tridecimal (13) 14a55b
tetradecimal (14) d3404
pentadecimal (15) a09a3

As an angle

508,428° = 1,412 × 360° + 108°
108° ≈ 1.885 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φηυκηʹ
Chinese
五十萬八千四百二十八
Chinese (financial)
伍拾萬捌仟肆佰貳拾捌
In other modern scripts
Eastern Arabic ٥٠٨٤٢٨ Devanagari ५०८४२८ Bengali ৫০৮৪২৮ Tamil ௫௦௮௪௨௮ Thai ๕๐๘๔๒๘ Tibetan ༥༠༨༤༢༨ Khmer ៥០៨៤២៨ Lao ໕໐໘໔໒໘ Burmese ၅၀၈၄၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 508428, here are decompositions:

  • 61 + 508367 = 508428
  • 79 + 508349 = 508428
  • 97 + 508331 = 508428
  • 101 + 508327 = 508428
  • 127 + 508301 = 508428
  • 131 + 508297 = 508428
  • 157 + 508271 = 508428
  • 191 + 508237 = 508428

Showing the first eight; more decompositions exist.

Hex color
#07C20C
RGB(7, 194, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.194.12.

Address
0.7.194.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.194.12

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 508,428 and was likely granted around 1893.

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

Position in π

The digit sequence 508428 first appears in π at position 951,695 of the decimal expansion (the 951,695ordinal-suffix:th 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°.