472,608
472,608 is a composite number, even.
472,608 (four hundred seventy-two thousand six hundred eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3³ × 547. Its proper divisors sum to 908,352, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73620.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 806,274
- Square (n²)
- 223,358,321,664
- Cube (n³)
- 105,560,929,684,979,712
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,380,960
- φ(n) — Euler's totient
- 157,248
- Sum of prime factors
- 566
Primality
Prime factorization: 2 5 × 3 3 × 547
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,608 = [687; (2, 6, 1, 1, 1, 1, 1, 18, 4, 1, 2, 1, 1, 2, 1, 3, 1, 2, 19, 152, 1, 2, 1, 1, …)]
Period length 58 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-two thousand six hundred eight
- Ordinal
- 472608th
- Binary
- 1110011011000100000
- Octal
- 1633040
- Hexadecimal
- 0x73620
- Base64
- BzYg
- One's complement
- 4,294,494,687 (32-bit)
- Scientific notation
- 4.72608 × 10⁵
- As a duration
- 472,608 s = 5 days, 11 hours, 16 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υοβχηʹ
- Chinese
- 四十七萬二千六百零八
- Chinese (financial)
- 肆拾柒萬貳仟陸佰零捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472608, here are decompositions:
- 11 + 472597 = 472608
- 47 + 472561 = 472608
- 67 + 472541 = 472608
- 131 + 472477 = 472608
- 139 + 472469 = 472608
- 151 + 472457 = 472608
- 197 + 472411 = 472608
- 239 + 472369 = 472608
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.54.32.
- Address
- 0.7.54.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.54.32
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 472,608 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 472608 first appears in π at position 935,049 of the decimal expansion (the 935,049ordinal-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°.