509,328
509,328 is a composite number, even.
509,328 (five hundred nine thousand three hundred twenty-eight) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3⁵ × 131. Its proper divisors sum to 980,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7C590.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 823,905
- Square (n²)
- 259,415,011,584
- Cube (n³)
- 132,127,329,020,055,552
- Divisor count
- 60
- σ(n) — sum of divisors
- 1,489,488
- φ(n) — Euler's totient
- 168,480
- Sum of prime factors
- 154
Primality
Prime factorization: 2 4 × 3 5 × 131
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√509,328 = [713; (1, 2, 19, 1, 3, 2, 1, 6, 1, 2, 2, 1, 2, 1, 2, 17, 3, 1, 11, 4, 6, 1, 1, 1, …)]
Period length 46 — the block in parentheses repeats forever.
Representations
- In words
- five hundred nine thousand three hundred twenty-eight
- Ordinal
- 509328th
- Binary
- 1111100010110010000
- Octal
- 1742620
- Hexadecimal
- 0x7C590
- Base64
- B8WQ
- One's complement
- 4,294,457,967 (32-bit)
- Scientific notation
- 5.09328 × 10⁵
- As a duration
- 509,328 s = 5 days, 21 hours, 28 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵φθτκηʹ
- Chinese
- 五十萬九千三百二十八
- Chinese (financial)
- 伍拾萬玖仟參佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 509328, here are decompositions:
- 11 + 509317 = 509328
- 31 + 509297 = 509328
- 41 + 509287 = 509328
- 47 + 509281 = 509328
- 89 + 509239 = 509328
- 101 + 509227 = 509328
- 107 + 509221 = 509328
- 179 + 509149 = 509328
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.197.144.
- Address
- 0.7.197.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.197.144
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 509,328 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 509328 first appears in π at position 678,505 of the decimal expansion (the 678,505ordinal-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°.