472,164
472,164 is a composite number, even.
472,164 (four hundred seventy-two thousand one hundred sixty-four) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 7² × 11 × 73. Its proper divisors sum to 945,084, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73464.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 1,344
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 461,274
- Square (n²)
- 222,938,842,896
- Cube (n³)
- 105,263,695,817,146,944
- Divisor count
- 72
- σ(n) — sum of divisors
- 1,417,248
- φ(n) — Euler's totient
- 120,960
- Sum of prime factors
- 105
Primality
Prime factorization: 2 2 × 3 × 7 2 × 11 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,164 = [687; (7, 21, 3, 36, 1, 4, 2, 1, 1, 7, 1, 1, 5, 1, 6, 4, 1, 54, 6, 27, 1, 7, 2, 1, …)]
Representations
- In words
- four hundred seventy-two thousand one hundred sixty-four
- Ordinal
- 472164th
- Binary
- 1110011010001100100
- Octal
- 1632144
- Hexadecimal
- 0x73464
- Base64
- BzRk
- One's complement
- 4,294,495,131 (32-bit)
- Scientific notation
- 4.72164 × 10⁵
- As a duration
- 472,164 s = 5 days, 11 hours, 9 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υοβρξδʹ
- Chinese
- 四十七萬二千一百六十四
- Chinese (financial)
- 肆拾柒萬貳仟壹佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472164, here are decompositions:
- 5 + 472159 = 472164
- 13 + 472151 = 472164
- 31 + 472133 = 472164
- 37 + 472127 = 472164
- 41 + 472123 = 472164
- 53 + 472111 = 472164
- 61 + 472103 = 472164
- 97 + 472067 = 472164
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.100.
- Address
- 0.7.52.100
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.52.100
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 472,164 and was likely granted around 1891.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.