471,048
471,048 is a composite number, even.
471,048 (four hundred seventy-one thousand forty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 19 × 1,033. Its proper divisors sum to 769,752, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73008.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 840,174
- Square (n²)
- 221,886,218,304
- Cube (n³)
- 104,519,059,359,662,592
- Divisor count
- 32
- σ(n) — sum of divisors
- 1,240,800
- φ(n) — Euler's totient
- 148,608
- Sum of prime factors
- 1,061
Primality
Prime factorization: 2 3 × 3 × 19 × 1033
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√471,048 = [686; (3, 27, 1, 2, 7, 1, 7, 2, 24, 24, 24, 2, 7, 1, 7, 2, 1, 27, 3, 1372)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-one thousand forty-eight
- Ordinal
- 471048th
- Binary
- 1110011000000001000
- Octal
- 1630010
- Hexadecimal
- 0x73008
- Base64
- BzAI
- One's complement
- 4,294,496,247 (32-bit)
- Scientific notation
- 4.71048 × 10⁵
- As a duration
- 471,048 s = 5 days, 10 hours, 50 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υοαμηʹ
- Chinese
- 四十七萬一千零四十八
- Chinese (financial)
- 肆拾柒萬壹仟零肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471048, here are decompositions:
- 7 + 471041 = 471048
- 41 + 471007 = 471048
- 89 + 470959 = 471048
- 101 + 470947 = 471048
- 107 + 470941 = 471048
- 157 + 470891 = 471048
- 167 + 470881 = 471048
- 181 + 470867 = 471048
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.48.8.
- Address
- 0.7.48.8
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.48.8
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 471,048 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 471048 first appears in π at position 146,161 of the decimal expansion (the 146,161ordinal-suffix:st 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°.