478,240
478,240 is a composite number, even.
478,240 (four hundred seventy-eight thousand two hundred forty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 5 × 7² × 61. Its proper divisors sum to 857,612, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74C20.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 25
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 42,874
- Square (n²)
- 228,713,497,600
- Cube (n³)
- 109,379,943,092,224,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 1,335,852
- φ(n) — Euler's totient
- 161,280
- Sum of prime factors
- 90
Primality
Prime factorization: 2 5 × 5 × 7 2 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√478,240 = [691; (1, 1, 4, 1, 1, 1, 1, 10, 1, 4, 1, 1, 1, 3, 1, 1, 1, 1, 1, 4, 1, 2, 3, 5, …)]
Representations
- In words
- four hundred seventy-eight thousand two hundred forty
- Ordinal
- 478240th
- Binary
- 1110100110000100000
- Octal
- 1646040
- Hexadecimal
- 0x74C20
- Base64
- B0wg
- One's complement
- 4,294,489,055 (32-bit)
- Scientific notation
- 4.7824 × 10⁵
- As a duration
- 478,240 s = 5 days, 12 hours, 50 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υοησμʹ
- Chinese
- 四十七萬八千二百四十
- Chinese (financial)
- 肆拾柒萬捌仟貳佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 478240, here are decompositions:
- 41 + 478199 = 478240
- 71 + 478169 = 478240
- 83 + 478157 = 478240
- 101 + 478139 = 478240
- 173 + 478067 = 478240
- 239 + 478001 = 478240
- 263 + 477977 = 478240
- 293 + 477947 = 478240
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.76.32.
- Address
- 0.7.76.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.76.32
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 478,240 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 478240 first appears in π at position 593,269 of the decimal expansion (the 593,269ordinal-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°.