472,200
472,200 is a composite number, even.
472,200 (four hundred seventy-two thousand two hundred) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3 × 5² × 787. Its proper divisors sum to 993,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73488.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 2,274
- Square (n²)
- 222,972,840,000
- Cube (n³)
- 105,287,775,048,000,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,465,680
- φ(n) — Euler's totient
- 125,760
- Sum of prime factors
- 806
Primality
Prime factorization: 2 3 × 3 × 5 2 × 787
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,200 = [687; (5, 1, 18, 1, 1, 10, 7, 9, 1, 27, 6, 1, 5, 10, 1, 10, 2, 4, 3, 1, 1, 1, 1, 7, …)]
Representations
- In words
- four hundred seventy-two thousand two hundred
- Ordinal
- 472200th
- Binary
- 1110011010010001000
- Octal
- 1632210
- Hexadecimal
- 0x73488
- Base64
- BzSI
- One's complement
- 4,294,495,095 (32-bit)
- Scientific notation
- 4.722 × 10⁵
- As a duration
- 472,200 s = 5 days, 11 hours, 10 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢
- Greek (Milesian)
- ͵υοβσʹ
- Chinese
- 四十七萬二千二百
- Chinese (financial)
- 肆拾柒萬貳仟貳佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472200, here are decompositions:
- 7 + 472193 = 472200
- 11 + 472189 = 472200
- 37 + 472163 = 472200
- 41 + 472159 = 472200
- 61 + 472139 = 472200
- 67 + 472133 = 472200
- 73 + 472127 = 472200
- 89 + 472111 = 472200
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.136.
- Address
- 0.7.52.136
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.52.136
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 472,200 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 472200 first appears in π at position 371,798 of the decimal expansion (the 371,798ordinal-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°.