478,880
478,880 is a composite number, even.
478,880 (four hundred seventy-eight thousand eight hundred eighty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 41 × 73. Its proper divisors sum to 695,944, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74EA0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 35
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 88,874
- Square (n²)
- 229,326,054,400
- Cube (n³)
- 109,819,660,931,072,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,174,824
- φ(n) — Euler's totient
- 184,320
- Sum of prime factors
- 129
Primality
Prime factorization: 2 5 × 5 × 41 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√478,880 = [692; (86, 1, 1, 345, 1, 1, 86, 1384)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-eight thousand eight hundred eighty
- Ordinal
- 478880th
- Binary
- 1110100111010100000
- Octal
- 1647240
- Hexadecimal
- 0x74EA0
- Base64
- B06g
- One's complement
- 4,294,488,415 (32-bit)
- Scientific notation
- 4.7888 × 10⁵
- As a duration
- 478,880 s = 5 days, 13 hours, 1 minute, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹 𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υοηωπʹ
- Chinese
- 四十七萬八千八百八十
- Chinese (financial)
- 肆拾柒萬捌仟捌佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 478880, here are decompositions:
- 19 + 478861 = 478880
- 37 + 478843 = 478880
- 67 + 478813 = 478880
- 79 + 478801 = 478880
- 139 + 478741 = 478880
- 151 + 478729 = 478880
- 229 + 478651 = 478880
- 277 + 478603 = 478880
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.78.160.
- Address
- 0.7.78.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.78.160
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 478,880 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 478880 first appears in π at position 144,834 of the decimal expansion (the 144,834ordinal-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°.