473,968
473,968 is a composite number, even.
473,968 (four hundred seventy-three thousand nine hundred sixty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 11 × 2,693. Its proper divisors sum to 528,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73B70.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 37
- Digit product
- 36,288
- Digital root
- 1
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 869,374
- Square (n²)
- 224,645,665,024
- Cube (n³)
- 106,474,856,560,095,232
- Divisor count
- 20
- σ(n) — sum of divisors
- 1,002,168
- φ(n) — Euler's totient
- 215,360
- Sum of prime factors
- 2,712
Primality
Prime factorization: 2 4 × 11 × 2693
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√473,968 = [688; (2, 4, 1, 6, 31, 6, 1, 4, 2, 1376)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-three thousand nine hundred sixty-eight
- Ordinal
- 473968th
- Binary
- 1110011101101110000
- Octal
- 1635560
- Hexadecimal
- 0x73B70
- Base64
- Bztw
- One's complement
- 4,294,493,327 (32-bit)
- Scientific notation
- 4.73968 × 10⁵
- As a duration
- 473,968 s = 5 days, 11 hours, 39 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υογϡξηʹ
- Chinese
- 四十七萬三千九百六十八
- Chinese (financial)
- 肆拾柒萬參仟玖佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473968, here are decompositions:
- 17 + 473951 = 473968
- 29 + 473939 = 473968
- 41 + 473927 = 473968
- 101 + 473867 = 473968
- 107 + 473861 = 473968
- 179 + 473789 = 473968
- 227 + 473741 = 473968
- 239 + 473729 = 473968
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.59.112.
- Address
- 0.7.59.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.59.112
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 473,968 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 473968 first appears in π at position 716,171 of the decimal expansion (the 716,171ordinal-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°.