470,800
470,800 is a composite number, even.
470,800 (four hundred seventy thousand eight hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5² × 11 × 107. Its proper divisors sum to 774,656, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72F10.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 19
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 8,074
- Recamán's sequence
- a(135,696) = 470,800
- Square (n²)
- 221,652,640,000
- Cube (n³)
- 104,354,062,912,000,000
- Divisor count
- 60
- σ(n) — sum of divisors
- 1,245,456
- φ(n) — Euler's totient
- 169,600
- Sum of prime factors
- 136
Primality
Prime factorization: 2 4 × 5 2 × 11 × 107
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√470,800 = [686; (6, 1, 2, 1, 1, 1, 7, 4, 1, 5, 3, 2, 2, 27, 1, 1, 2, 7, 2, 1, 1, 27, 2, 2, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy thousand eight hundred
- Ordinal
- 470800th
- Binary
- 1110010111100010000
- Octal
- 1627420
- Hexadecimal
- 0x72F10
- Base64
- By8Q
- One's complement
- 4,294,496,495 (32-bit)
- Scientific notation
- 4.708 × 10⁵
- As a duration
- 470,800 s = 5 days, 10 hours, 46 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵υοωʹ
- Chinese
- 四十七萬零八百
- Chinese (financial)
- 肆拾柒萬零捌佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470800, here are decompositions:
- 17 + 470783 = 470800
- 89 + 470711 = 470800
- 131 + 470669 = 470800
- 137 + 470663 = 470800
- 149 + 470651 = 470800
- 173 + 470627 = 470800
- 179 + 470621 = 470800
- 191 + 470609 = 470800
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.47.16.
- Address
- 0.7.47.16
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.47.16
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 470,800 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 470800 first appears in π at position 347,224 of the decimal expansion (the 347,224ordinal-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°.