471,200
471,200 is a composite number, even.
471,200 (four hundred seventy-one thousand two hundred) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 5² × 19 × 31. Its proper divisors sum to 778,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x730A0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 2,174
- Square (n²)
- 222,029,440,000
- Cube (n³)
- 104,620,272,128,000,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 1,249,920
- φ(n) — Euler's totient
- 172,800
- Sum of prime factors
- 70
Primality
Prime factorization: 2 5 × 5 2 × 19 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√471,200 = [686; (2, 3, 1, 2, 17, 54, 1, 6, 44, 6, 1, 54, 17, 2, 1, 3, 2, 1372)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-one thousand two hundred
- Ordinal
- 471200th
- Binary
- 1110011000010100000
- Octal
- 1630240
- Hexadecimal
- 0x730A0
- Base64
- BzCg
- One's complement
- 4,294,496,095 (32-bit)
- Scientific notation
- 4.712 × 10⁵
- As a duration
- 471,200 s = 5 days, 10 hours, 53 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢
- Greek (Milesian)
- ͵υοασʹ
- Chinese
- 四十七萬一千二百
- Chinese (financial)
- 肆拾柒萬壹仟貳佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471200, here are decompositions:
- 7 + 471193 = 471200
- 13 + 471187 = 471200
- 61 + 471139 = 471200
- 109 + 471091 = 471200
- 127 + 471073 = 471200
- 139 + 471061 = 471200
- 193 + 471007 = 471200
- 241 + 470959 = 471200
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.48.160.
- Address
- 0.7.48.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.48.160
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 471,200 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 471200 first appears in π at position 239,652 of the decimal expansion (the 239,652ordinal-suffix:nd 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°.