464,520
464,520 is a composite number, even.
464,520 (four hundred sixty-four thousand five hundred twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5 × 7² × 79. Its proper divisors sum to 1,177,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71688.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 25,464
- Square (n²)
- 215,778,830,400
- Cube (n³)
- 100,233,582,297,408,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 1,641,600
- φ(n) — Euler's totient
- 104,832
- Sum of prime factors
- 107
Primality
Prime factorization: 2 3 × 3 × 5 × 7 2 × 79
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√464,520 = [681; (1, 1, 3, 1, 7, 1, 1, 6, 1, 7, 5, 27, 1, 1, 1, 1, 1, 10, 1, 1, 1, 3, 1, 1, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty-four thousand five hundred twenty
- Ordinal
- 464520th
- Binary
- 1110001011010001000
- Octal
- 1613210
- Hexadecimal
- 0x71688
- Base64
- BxaI
- One's complement
- 4,294,502,775 (32-bit)
- Scientific notation
- 4.6452 × 10⁵
- As a duration
- 464,520 s = 5 days, 9 hours, 2 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵υξδφκʹ
- Chinese
- 四十六萬四千五百二十
- Chinese (financial)
- 肆拾陸萬肆仟伍佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 464520, here are decompositions:
- 37 + 464483 = 464520
- 41 + 464479 = 464520
- 53 + 464467 = 464520
- 61 + 464459 = 464520
- 73 + 464447 = 464520
- 83 + 464437 = 464520
- 101 + 464419 = 464520
- 107 + 464413 = 464520
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.22.136.
- Address
- 0.7.22.136
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.22.136
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 464,520 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°.