474,840
474,840 is a composite number, even.
474,840 (four hundred seventy-four thousand eight hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 5 × 1,319. Its proper divisors sum to 1,069,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73ED8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 48,474
- Square (n²)
- 225,473,025,600
- Cube (n³)
- 107,063,611,475,904,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,544,400
- φ(n) — Euler's totient
- 126,528
- Sum of prime factors
- 1,336
Primality
Prime factorization: 2 3 × 3 2 × 5 × 1319
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√474,840 = [689; (11, 1, 1, 2, 1, 1, 1, 1, 11, 3, 1, 2, 1, 2, 1, 1, 1, 2, 1, 17, 2, 2, 4, 34, …)]
Period length 48 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-four thousand eight hundred forty
- Ordinal
- 474840th
- Binary
- 1110011111011011000
- Octal
- 1637330
- Hexadecimal
- 0x73ED8
- Base64
- Bz7Y
- One's complement
- 4,294,492,455 (32-bit)
- Scientific notation
- 4.7484 × 10⁵
- As a duration
- 474,840 s = 5 days, 11 hours, 54 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υοδωμʹ
- Chinese
- 四十七萬四千八百四十
- Chinese (financial)
- 肆拾柒萬肆仟捌佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474840, here are decompositions:
- 29 + 474811 = 474840
- 31 + 474809 = 474840
- 53 + 474787 = 474840
- 61 + 474779 = 474840
- 71 + 474769 = 474840
- 83 + 474757 = 474840
- 89 + 474751 = 474840
- 103 + 474737 = 474840
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.62.216.
- Address
- 0.7.62.216
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.62.216
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 474,840 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 474840 first appears in π at position 816,023 of the decimal expansion (the 816,023ordinal-suffix:rd 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°.