471,440
471,440 is a composite number, even.
471,440 (four hundred seventy-one thousand four hundred forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 71 × 83. Its proper divisors sum to 653,488, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73190.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 44,174
- Square (n²)
- 222,255,673,600
- Cube (n³)
- 104,780,214,761,984,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 1,124,928
- φ(n) — Euler's totient
- 183,680
- Sum of prime factors
- 167
Primality
Prime factorization: 2 4 × 5 × 71 × 83
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√471,440 = [686; (1, 1, 1, 1, 2, 11, 2, 4, 1, 7, 1, 2, 2, 8, 9, 1, 2, 4, 2, 2, 5, 2, 1, 27, …)]
Period length 54 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-one thousand four hundred forty
- Ordinal
- 471440th
- Binary
- 1110011000110010000
- Octal
- 1630620
- Hexadecimal
- 0x73190
- Base64
- BzGQ
- One's complement
- 4,294,495,855 (32-bit)
- Scientific notation
- 4.7144 × 10⁵
- As a duration
- 471,440 s = 5 days, 10 hours, 57 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υοαυμʹ
- Chinese
- 四十七萬一千四百四十
- Chinese (financial)
- 肆拾柒萬壹仟肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471440, here are decompositions:
- 37 + 471403 = 471440
- 127 + 471313 = 471440
- 139 + 471301 = 471440
- 157 + 471283 = 471440
- 163 + 471277 = 471440
- 181 + 471259 = 471440
- 199 + 471241 = 471440
- 223 + 471217 = 471440
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.49.144.
- Address
- 0.7.49.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.49.144
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 471,440 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 471440 first appears in π at position 718,427 of the decimal expansion (the 718,427ordinal-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°.