464,688
464,688 is a composite number, even.
464,688 (four hundred sixty-four thousand six hundred eighty-eight) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 7 × 461. Its proper divisors sum to 1,024,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71730.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 36
- Digit product
- 36,864
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 886,464
- Recamán's sequence
- a(132,448) = 464,688
- Square (n²)
- 215,934,937,344
- Cube (n³)
- 100,342,374,164,508,672
- Divisor count
- 60
- σ(n) — sum of divisors
- 1,489,488
- φ(n) — Euler's totient
- 132,480
- Sum of prime factors
- 482
Primality
Prime factorization: 2 4 × 3 2 × 7 × 461
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√464,688 = [681; (1, 2, 7, 1, 4, 1, 8, 1, 2, 2, 1, 1, 1, 3, 4, 9, 4, 3, 1, 1, 1, 2, 2, 1, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty-four thousand six hundred eighty-eight
- Ordinal
- 464688th
- Binary
- 1110001011100110000
- Octal
- 1613460
- Hexadecimal
- 0x71730
- Base64
- Bxcw
- One's complement
- 4,294,502,607 (32-bit)
- Scientific notation
- 4.64688 × 10⁵
- As a duration
- 464,688 s = 5 days, 9 hours, 4 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υξδχπηʹ
- Chinese
- 四十六萬四千六百八十八
- Chinese (financial)
- 肆拾陸萬肆仟陸佰捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 464688, here are decompositions:
- 41 + 464647 = 464688
- 67 + 464621 = 464688
- 71 + 464617 = 464688
- 97 + 464591 = 464688
- 101 + 464587 = 464688
- 127 + 464561 = 464688
- 131 + 464557 = 464688
- 139 + 464549 = 464688
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.23.48.
- Address
- 0.7.23.48
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.23.48
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 464,688 and was likely granted around 1891.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 464688 first appears in π at position 98,804 of the decimal expansion (the 98,804ordinal-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°.