464,448
464,448 is a composite number, even.
464,448 (four hundred sixty-four thousand four hundred forty-eight) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 41 × 59. Its proper divisors sum to 815,712, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71640.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 12,288
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 844,464
- Square (n²)
- 215,711,944,704
- Cube (n³)
- 100,186,981,293,883,392
- Divisor count
- 56
- σ(n) — sum of divisors
- 1,280,160
- φ(n) — Euler's totient
- 148,480
- Sum of prime factors
- 115
Primality
Prime factorization: 2 6 × 3 × 41 × 59
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√464,448 = [681; (1, 1, 58, 1, 3, 5, 2, 2, 8, 3, 34, 1, 1, 1, 2, 4, 2, 1, 14, 7, 1, 339, 1, 7, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty-four thousand four hundred forty-eight
- Ordinal
- 464448th
- Binary
- 1110001011001000000
- Octal
- 1613100
- Hexadecimal
- 0x71640
- Base64
- BxZA
- One's complement
- 4,294,502,847 (32-bit)
- Scientific notation
- 4.64448 × 10⁵
- As a duration
- 464,448 s = 5 days, 9 hours, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υξδυμηʹ
- Chinese
- 四十六萬四千四百四十八
- Chinese (financial)
- 肆拾陸萬肆仟肆佰肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 464448, here are decompositions:
- 11 + 464437 = 464448
- 29 + 464419 = 464448
- 67 + 464381 = 464448
- 97 + 464351 = 464448
- 137 + 464311 = 464448
- 139 + 464309 = 464448
- 157 + 464291 = 464448
- 167 + 464281 = 464448
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.22.64.
- Address
- 0.7.22.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.22.64
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 464,448 and was likely granted around 1891.
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°.