475,968
475,968 is a composite number, even.
475,968 (four hundred seventy-five thousand nine hundred sixty-eight) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 37 × 67. Its proper divisors sum to 836,704, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74340.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 39
- Digit product
- 60,480
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 869,574
- Recamán's sequence
- a(139,728) = 475,968
- Square (n²)
- 226,545,537,024
- Cube (n³)
- 107,828,426,166,239,232
- Divisor count
- 56
- σ(n) — sum of divisors
- 1,312,672
- φ(n) — Euler's totient
- 152,064
- Sum of prime factors
- 119
Primality
Prime factorization: 2 6 × 3 × 37 × 67
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√475,968 = [689; (1, 9, 2, 4, 1, 10, 1, 1, 2, 2, 2, 4, 1, 40, 1, 343, 1, 40, 1, 4, 2, 2, 2, 1, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-five thousand nine hundred sixty-eight
- Ordinal
- 475968th
- Binary
- 1110100001101000000
- Octal
- 1641500
- Hexadecimal
- 0x74340
- Base64
- B0NA
- One's complement
- 4,294,491,327 (32-bit)
- Scientific notation
- 4.75968 × 10⁵
- As a duration
- 475,968 s = 5 days, 12 hours, 12 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υοεϡξηʹ
- Chinese
- 四十七萬五千九百六十八
- Chinese (financial)
- 肆拾柒萬伍仟玖佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 475968, here are decompositions:
- 11 + 475957 = 475968
- 41 + 475927 = 475968
- 47 + 475921 = 475968
- 61 + 475907 = 475968
- 71 + 475897 = 475968
- 79 + 475889 = 475968
- 89 + 475879 = 475968
- 109 + 475859 = 475968
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.67.64.
- Address
- 0.7.67.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.67.64
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 475,968 and was likely granted around 1892.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 475968 first appears in π at position 836,341 of the decimal expansion (the 836,341ordinal-suffix:st 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°.