509,472
509,472 is a composite number, even.
509,472 (five hundred nine thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 29 × 61. Its proper divisors sum to 1,013,868, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7C620.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 274,905
- Square (n²)
- 259,561,718,784
- Cube (n³)
- 132,239,427,992,322,048
- Divisor count
- 72
- σ(n) — sum of divisors
- 1,523,340
- φ(n) — Euler's totient
- 161,280
- Sum of prime factors
- 106
Primality
Prime factorization: 2 5 × 3 2 × 29 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√509,472 = [713; (1, 3, 2, 2, 5, 1, 1, 3, 2, 2, 2, 1, 9, 4, 1, 5, 8, 2, 1, 1, 1, 16, 1, 355, …)]
Period length 48 — the block in parentheses repeats forever.
Representations
- In words
- five hundred nine thousand four hundred seventy-two
- Ordinal
- 509472nd
- Binary
- 1111100011000100000
- Octal
- 1743040
- Hexadecimal
- 0x7C620
- Base64
- B8Yg
- One's complement
- 4,294,457,823 (32-bit)
- Scientific notation
- 5.09472 × 10⁵
- As a duration
- 509,472 s = 5 days, 21 hours, 31 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵φθυοβʹ
- Chinese
- 五十萬九千四百七十二
- Chinese (financial)
- 伍拾萬玖仟肆佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 509472, here are decompositions:
- 23 + 509449 = 509472
- 31 + 509441 = 509472
- 43 + 509429 = 509472
- 59 + 509413 = 509472
- 79 + 509393 = 509472
- 83 + 509389 = 509472
- 109 + 509363 = 509472
- 113 + 509359 = 509472
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.198.32.
- Address
- 0.7.198.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.198.32
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 509,472 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 509472 first appears in π at position 886,527 of the decimal expansion (the 886,527ordinal-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°.