472,512
472,512 is a composite number, even.
472,512 (four hundred seventy-two thousand five hundred twelve) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 23 × 107. Its proper divisors sum to 844,224, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x735C0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 560
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 215,274
- Square (n²)
- 223,267,590,144
- Cube (n³)
- 105,496,615,554,121,728
- Divisor count
- 56
- σ(n) — sum of divisors
- 1,316,736
- φ(n) — Euler's totient
- 149,248
- Sum of prime factors
- 145
Primality
Prime factorization: 2 6 × 3 × 23 × 107
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,512 = [687; (2, 1, 1, 7, 1, 1, 6, 1, 2, 343, 2, 1, 6, 1, 1, 7, 1, 1, 2, 1374)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-two thousand five hundred twelve
- Ordinal
- 472512th
- Binary
- 1110011010111000000
- Octal
- 1632700
- Hexadecimal
- 0x735C0
- Base64
- BzXA
- One's complement
- 4,294,494,783 (32-bit)
- Scientific notation
- 4.72512 × 10⁵
- As a duration
- 472,512 s = 5 days, 11 hours, 15 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
- Greek (Milesian)
- ͵υοβφιβʹ
- Chinese
- 四十七萬二千五百一十二
- Chinese (financial)
- 肆拾柒萬貳仟伍佰壹拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472512, here are decompositions:
- 43 + 472469 = 472512
- 101 + 472411 = 472512
- 113 + 472399 = 472512
- 163 + 472349 = 472512
- 179 + 472333 = 472512
- 181 + 472331 = 472512
- 193 + 472319 = 472512
- 211 + 472301 = 472512
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.192.
- Address
- 0.7.53.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.53.192
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 472,512 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 472512 first appears in π at position 100,027 of the decimal expansion (the 100,027ordinal-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°.