497,664
497,664 is a composite number, even.
497,664 (four hundred ninety-seven thousand six hundred sixty-four) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2¹¹ × 3⁵. Its proper divisors sum to 992,916, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x79800.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 36
- Digit product
- 36,288
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 466,794
- Square (n²)
- 247,669,456,896
- Cube (n³)
- 123,256,172,596,690,944
- Divisor count
- 72
- σ(n) — sum of divisors
- 1,490,580
- φ(n) — Euler's totient
- 165,888
- Sum of prime factors
- 37
Primality
Prime factorization: 2 11 × 3 5
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√497,664 = [705; (2, 4, 1, 4, 1, 2, 3, 1, 6, 21, 1, 8, 1, 3, 2, 5, 14, 1, 2, 87, 1, 5, 3, 1, …)]
Representations
- In words
- four hundred ninety-seven thousand six hundred sixty-four
- Ordinal
- 497664th
- Binary
- 1111001100000000000
- Octal
- 1714000
- Hexadecimal
- 0x79800
- Base64
- B5gA
- One's complement
- 4,294,469,631 (32-bit)
- Scientific notation
- 4.97664 × 10⁵
- As a duration
- 497,664 s = 5 days, 18 hours, 14 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υϟζχξδʹ
- Chinese
- 四十九萬七千六百六十四
- Chinese (financial)
- 肆拾玖萬柒仟陸佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 497664, here are decompositions:
- 5 + 497659 = 497664
- 31 + 497633 = 497664
- 61 + 497603 = 497664
- 67 + 497597 = 497664
- 103 + 497561 = 497664
- 107 + 497557 = 497664
- 113 + 497551 = 497664
- 127 + 497537 = 497664
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.152.0.
- Address
- 0.7.152.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.152.0
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 497,664 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 497664 first appears in π at position 408,010 of the decimal expansion (the 408,010ordinal-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°.