472,500
472,500 is a composite number, even.
472,500 (four hundred seventy-two thousand five hundred) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2² × 3³ × 5⁴ × 7. Its proper divisors sum to 1,276,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x735B4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 5,274
- Square (n²)
- 223,256,250,000
- Cube (n³)
- 105,488,578,125,000,000
- Divisor count
- 120
- σ(n) — sum of divisors
- 1,749,440
- φ(n) — Euler's totient
- 108,000
- Sum of prime factors
- 40
Primality
Prime factorization: 2 2 × 3 3 × 5 4 × 7
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,500 = [687; (2, 1, 1, 2, 3, 54, 1, 2, 3, 1, 1, 8, 1, 54, 10, 2, 10, 54, 1, 8, 1, 1, 3, 2, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-two thousand five hundred
- Ordinal
- 472500th
- Binary
- 1110011010110110100
- Octal
- 1632664
- Hexadecimal
- 0x735B4
- Base64
- BzW0
- One's complement
- 4,294,494,795 (32-bit)
- Scientific notation
- 4.725 × 10⁵
- As a duration
- 472,500 s = 5 days, 11 hours, 15 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵υοβφʹ
- Chinese
- 四十七萬二千五百
- Chinese (financial)
- 肆拾柒萬貳仟伍佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472500, here are decompositions:
- 23 + 472477 = 472500
- 31 + 472469 = 472500
- 43 + 472457 = 472500
- 79 + 472421 = 472500
- 89 + 472411 = 472500
- 101 + 472399 = 472500
- 107 + 472393 = 472500
- 109 + 472391 = 472500
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.180.
- Address
- 0.7.53.180
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.53.180
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 472,500 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 472500 first appears in π at position 752,039 of the decimal expansion (the 752,039ordinal-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°.