478,720
478,720 is a composite number, even.
478,720 (four hundred seventy-eight thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁹ × 5 × 11 × 17. Its proper divisors sum to 847,088, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74E00.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 28
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 27,874
- Square (n²)
- 229,172,838,400
- Cube (n³)
- 109,709,621,198,848,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 1,325,808
- φ(n) — Euler's totient
- 163,840
- Sum of prime factors
- 51
Primality
Prime factorization: 2 9 × 5 × 11 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√478,720 = [691; (1, 8, 1, 1, 1, 1, 3, 3, 1, 152, 1, 85, 2, 37, 1, 16, 9, 9, 2, 345, 2, 9, 9, 16, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-eight thousand seven hundred twenty
- Ordinal
- 478720th
- Binary
- 1110100111000000000
- Octal
- 1647000
- Hexadecimal
- 0x74E00
- Base64
- B04A
- One's complement
- 4,294,488,575 (32-bit)
- Scientific notation
- 4.7872 × 10⁵
- As a duration
- 478,720 s = 5 days, 12 hours, 58 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵υοηψκʹ
- Chinese
- 四十七萬八千七百二十
- Chinese (financial)
- 肆拾柒萬捌仟柒佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 478720, here are decompositions:
- 23 + 478697 = 478720
- 41 + 478679 = 478720
- 83 + 478637 = 478720
- 89 + 478631 = 478720
- 131 + 478589 = 478720
- 149 + 478571 = 478720
- 197 + 478523 = 478720
- 227 + 478493 = 478720
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.78.0.
- Address
- 0.7.78.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.78.0
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 478,720 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 478720 first appears in π at position 270,859 of the decimal expansion (the 270,859ordinal-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°.