493,440
493,440 is a composite number, even.
493,440 (four hundred ninety-three thousand four hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 3 × 5 × 257. Its proper divisors sum to 1,085,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x78780.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 44,394
- Recamán's sequence
- a(149,284) = 493,440
- Square (n²)
- 243,483,033,600
- Cube (n³)
- 120,144,268,099,584,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,578,960
- φ(n) — Euler's totient
- 131,072
- Sum of prime factors
- 279
Primality
Prime factorization: 2 7 × 3 × 5 × 257
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√493,440 = [702; (2, 4, 1, 4, 23, 4, 1, 4, 2, 1404)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- four hundred ninety-three thousand four hundred forty
- Ordinal
- 493440th
- Binary
- 1111000011110000000
- Octal
- 1703600
- Hexadecimal
- 0x78780
- Base64
- B4eA
- One's complement
- 4,294,473,855 (32-bit)
- Scientific notation
- 4.9344 × 10⁵
- As a duration
- 493,440 s = 5 days, 17 hours, 4 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υϟγυμʹ
- Chinese
- 四十九萬三千四百四十
- Chinese (financial)
- 肆拾玖萬參仟肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 493440, here are decompositions:
- 7 + 493433 = 493440
- 37 + 493403 = 493440
- 41 + 493399 = 493440
- 43 + 493397 = 493440
- 47 + 493393 = 493440
- 71 + 493369 = 493440
- 89 + 493351 = 493440
- 107 + 493333 = 493440
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.135.128.
- Address
- 0.7.135.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.135.128
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 493,440 and was likely granted around 1893.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.