480,472
480,472 is a composite number, even.
480,472 (four hundred eighty thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 19 × 29 × 109. Its proper divisors sum to 509,528, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x754D8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 25
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 274,084
- Square (n²)
- 230,853,342,784
- Cube (n³)
- 110,918,567,314,114,048
- Divisor count
- 32
- σ(n) — sum of divisors
- 990,000
- φ(n) — Euler's totient
- 217,728
- Sum of prime factors
- 163
Primality
Prime factorization: 2 3 × 19 × 29 × 109
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√480,472 = [693; (6, 4, 1, 1, 1, 2, 2, 1, 1, 3, 2, 1, 15, 17, 19, 2, 7, 11, 3, 11, 7, 2, 19, 17, …)]
Period length 38 — the block in parentheses repeats forever.
Representations
- In words
- four hundred eighty thousand four hundred seventy-two
- Ordinal
- 480472nd
- Binary
- 1110101010011011000
- Octal
- 1652330
- Hexadecimal
- 0x754D8
- Base64
- B1TY
- One's complement
- 4,294,486,823 (32-bit)
- Scientific notation
- 4.80472 × 10⁵
- As a duration
- 480,472 s = 5 days, 13 hours, 27 minutes, 52 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵υπυοβʹ
- Chinese
- 四十八萬零四百七十二
- Chinese (financial)
- 肆拾捌萬零肆佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 480472, here are decompositions:
- 11 + 480461 = 480472
- 23 + 480449 = 480472
- 53 + 480419 = 480472
- 89 + 480383 = 480472
- 131 + 480341 = 480472
- 173 + 480299 = 480472
- 263 + 480209 = 480472
- 269 + 480203 = 480472
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.84.216.
- Address
- 0.7.84.216
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.84.216
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 480,472 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 480472 first appears in π at position 23,520 of the decimal expansion (the 23,520ordinal-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°.