471,968
471,968 is a composite number, even.
471,968 (four hundred seventy-one thousand nine hundred sixty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 7³ × 43. Its proper divisors sum to 636,832, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x733A0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 35
- Digit product
- 12,096
- Digital root
- 8
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 869,174
- Square (n²)
- 222,753,793,024
- Cube (n³)
- 105,132,662,185,951,232
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,108,800
- φ(n) — Euler's totient
- 197,568
- Sum of prime factors
- 74
Primality
Prime factorization: 2 5 × 7 3 × 43
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√471,968 = [686; (1, 1372)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-one thousand nine hundred sixty-eight
- Ordinal
- 471968th
- Binary
- 1110011001110100000
- Octal
- 1631640
- Hexadecimal
- 0x733A0
- Base64
- BzOg
- One's complement
- 4,294,495,327 (32-bit)
- Scientific notation
- 4.71968 × 10⁵
- As a duration
- 471,968 s = 5 days, 11 hours, 6 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υοαϡξηʹ
- Chinese
- 四十七萬一千九百六十八
- Chinese (financial)
- 肆拾柒萬壹仟玖佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471968, here are decompositions:
- 19 + 471949 = 471968
- 37 + 471931 = 471968
- 61 + 471907 = 471968
- 67 + 471901 = 471968
- 97 + 471871 = 471968
- 127 + 471841 = 471968
- 151 + 471817 = 471968
- 199 + 471769 = 471968
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.51.160.
- Address
- 0.7.51.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.51.160
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 471,968 and was likely granted around 1891.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 471968 first appears in π at position 220,133 of the decimal expansion (the 220,133ordinal-suffix:rd 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°.