474,864
474,864 is a composite number, even.
474,864 (four hundred seventy-four thousand eight hundred sixty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 13 × 761. Its proper divisors sum to 847,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73EF0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 33
- Digit product
- 21,504
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 468,474
- Square (n²)
- 225,495,818,496
- Cube (n³)
- 107,079,846,354,284,544
- Divisor count
- 40
- σ(n) — sum of divisors
- 1,322,832
- φ(n) — Euler's totient
- 145,920
- Sum of prime factors
- 785
Primality
Prime factorization: 2 4 × 3 × 13 × 761
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√474,864 = [689; (9, 1, 1, 1, 3, 11, 8, 1, 1, 2, 1, 1, 1, 7, 1, 54, 4, 10, 2, 3, 2, 1, 13, 1, …)]
Representations
- In words
- four hundred seventy-four thousand eight hundred sixty-four
- Ordinal
- 474864th
- Binary
- 1110011111011110000
- Octal
- 1637360
- Hexadecimal
- 0x73EF0
- Base64
- Bz7w
- One's complement
- 4,294,492,431 (32-bit)
- Scientific notation
- 4.74864 × 10⁵
- As a duration
- 474,864 s = 5 days, 11 hours, 54 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υοδωξδʹ
- Chinese
- 四十七萬四千八百六十四
- Chinese (financial)
- 肆拾柒萬肆仟捌佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474864, here are decompositions:
- 7 + 474857 = 474864
- 17 + 474847 = 474864
- 53 + 474811 = 474864
- 107 + 474757 = 474864
- 113 + 474751 = 474864
- 127 + 474737 = 474864
- 157 + 474707 = 474864
- 193 + 474671 = 474864
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.62.240.
- Address
- 0.7.62.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.62.240
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 474,864 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 474864 first appears in π at position 444,448 of the decimal expansion (the 444,448ordinal-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°.