472,752
472,752 is a composite number, even.
472,752 (four hundred seventy-two thousand seven hundred fifty-two) is an even 6-digit number. It is a composite number with 90 divisors, and factors as 2⁴ × 3² × 7² × 67. Its proper divisors sum to 1,089,276, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x736B0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 3,920
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 257,274
- Square (n²)
- 223,494,453,504
- Cube (n³)
- 105,657,449,882,923,008
- Divisor count
- 90
- σ(n) — sum of divisors
- 1,562,028
- φ(n) — Euler's totient
- 133,056
- Sum of prime factors
- 95
Primality
Prime factorization: 2 4 × 3 2 × 7 2 × 67
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,752 = [687; (1, 1, 3, 11, 12, 1, 1, 1, 4, 3, 1, 2, 4, 16, 1, 2, 1, 27, 3, 6, 1, 3, 1, 8, …)]
Period length 52 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-two thousand seven hundred fifty-two
- Ordinal
- 472752nd
- Binary
- 1110011011010110000
- Octal
- 1633260
- Hexadecimal
- 0x736B0
- Base64
- Bzaw
- One's complement
- 4,294,494,543 (32-bit)
- Scientific notation
- 4.72752 × 10⁵
- As a duration
- 472,752 s = 5 days, 11 hours, 19 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵υοβψνβʹ
- Chinese
- 四十七萬二千七百五十二
- Chinese (financial)
- 肆拾柒萬貳仟柒佰伍拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472752, here are decompositions:
- 11 + 472741 = 472752
- 31 + 472721 = 472752
- 41 + 472711 = 472752
- 43 + 472709 = 472752
- 61 + 472691 = 472752
- 83 + 472669 = 472752
- 109 + 472643 = 472752
- 113 + 472639 = 472752
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.54.176.
- Address
- 0.7.54.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.54.176
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 472,752 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 472752 first appears in π at position 261,418 of the decimal expansion (the 261,418ordinal-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°.