475,200
475,200 is a composite number, even.
475,200 (four hundred seventy-five thousand two hundred) is an even 6-digit number. It is a composite number with 168 divisors, and factors as 2⁶ × 3³ × 5² × 11. Its proper divisors sum to 1,414,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74040.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 2,574
- Square (n²)
- 225,815,040,000
- Cube (n³)
- 107,307,307,008,000,000
- Divisor count
- 168
- σ(n) — sum of divisors
- 1,889,760
- φ(n) — Euler's totient
- 115,200
- Sum of prime factors
- 42
Primality
Prime factorization: 2 6 × 3 3 × 5 2 × 11
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√475,200 = [689; (2, 1, 7, 5, 1, 343, 1, 5, 7, 1, 2, 1378)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-five thousand two hundred
- Ordinal
- 475200th
- Binary
- 1110100000001000000
- Octal
- 1640100
- Hexadecimal
- 0x74040
- Base64
- B0BA
- One's complement
- 4,294,492,095 (32-bit)
- Scientific notation
- 4.752 × 10⁵
- As a duration
- 475,200 s = 5 days, 12 hours
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 · ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢
- Greek (Milesian)
- ͵υοεσʹ
- Chinese
- 四十七萬五千二百
- Chinese (financial)
- 肆拾柒萬伍仟貳佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 475200, here are decompositions:
- 31 + 475169 = 475200
- 41 + 475159 = 475200
- 53 + 475147 = 475200
- 59 + 475141 = 475200
- 97 + 475103 = 475200
- 107 + 475093 = 475200
- 109 + 475091 = 475200
- 127 + 475073 = 475200
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.64.64.
- Address
- 0.7.64.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.64.64
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 475,200 and was likely granted around 1892.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 475200 first appears in π at position 117,197 of the decimal expansion (the 117,197ordinal-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°.