474,880
474,880 is a composite number, even.
474,880 (four hundred seventy-four thousand eight hundred eighty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁸ × 5 × 7 × 53. Its proper divisors sum to 849,632, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73F00.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 31
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 88,474
- Square (n²)
- 225,511,014,400
- Cube (n³)
- 107,090,670,518,272,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 1,324,512
- φ(n) — Euler's totient
- 159,744
- Sum of prime factors
- 81
Primality
Prime factorization: 2 8 × 5 × 7 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√474,880 = [689; (8, 1, 2, 152, 1, 3, 1, 3, 2, 4, 1, 16, 5, 38, 11, 1, 1, 3, 1, 343, 1, 3, 1, 1, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-four thousand eight hundred eighty
- Ordinal
- 474880th
- Binary
- 1110011111100000000
- Octal
- 1637400
- Hexadecimal
- 0x73F00
- Base64
- Bz8A
- One's complement
- 4,294,492,415 (32-bit)
- Scientific notation
- 4.7488 × 10⁵
- As a duration
- 474,880 s = 5 days, 11 hours, 54 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υοδωπʹ
- Chinese
- 四十七萬四千八百八十
- Chinese (financial)
- 肆拾柒萬肆仟捌佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474880, here are decompositions:
- 23 + 474857 = 474880
- 41 + 474839 = 474880
- 71 + 474809 = 474880
- 101 + 474779 = 474880
- 173 + 474707 = 474880
- 233 + 474647 = 474880
- 251 + 474629 = 474880
- 311 + 474569 = 474880
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.63.0.
- Address
- 0.7.63.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.63.0
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 474,880 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 474880 first appears in π at position 517,074 of the decimal expansion (the 517,074ordinal-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°.