508,820
508,820 is a composite number, even.
508,820 (five hundred eight thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 13 × 19 × 103. Its proper divisors sum to 714,220, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7C394.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 28,805
- Square (n²)
- 258,897,792,400
- Cube (n³)
- 131,732,374,728,968,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,223,040
- φ(n) — Euler's totient
- 176,256
- Sum of prime factors
- 144
Primality
Prime factorization: 2 2 × 5 × 13 × 19 × 103
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√508,820 = [713; (3, 6, 6, 1, 1, 1, 1, 11, 5, 2, 2, 1, 2, 2, 2, 1, 4, 1, 4, 88, 1, 22, 2, 1, …)]
Period length 58 — the block in parentheses repeats forever.
Representations
- In words
- five hundred eight thousand eight hundred twenty
- Ordinal
- 508820th
- Binary
- 1111100001110010100
- Octal
- 1741624
- Hexadecimal
- 0x7C394
- Base64
- B8OU
- One's complement
- 4,294,458,475 (32-bit)
- Scientific notation
- 5.0882 × 10⁵
- As a duration
- 508,820 s = 5 days, 21 hours, 20 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵φηωκʹ
- Chinese
- 五十萬八千八百二十
- Chinese (financial)
- 伍拾萬捌仟捌佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 508820, here are decompositions:
- 3 + 508817 = 508820
- 31 + 508789 = 508820
- 127 + 508693 = 508820
- 199 + 508621 = 508820
- 241 + 508579 = 508820
- 271 + 508549 = 508820
- 307 + 508513 = 508820
- 331 + 508489 = 508820
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.195.148.
- Address
- 0.7.195.148
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.195.148
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 508,820 and was likely granted around 1893.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 508820 first appears in π at position 142,702 of the decimal expansion (the 142,702ordinal-suffix:nd 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°.