480,048
480,048 is a composite number, even.
480,048 (four hundred eighty thousand forty-eight) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 73 × 137. Its proper divisors sum to 786,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x75330.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 840,084
- Square (n²)
- 230,446,082,304
- Cube (n³)
- 110,625,180,917,870,592
- Divisor count
- 40
- σ(n) — sum of divisors
- 1,266,288
- φ(n) — Euler's totient
- 156,672
- Sum of prime factors
- 221
Primality
Prime factorization: 2 4 × 3 × 73 × 137
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√480,048 = [692; (1, 5, 1, 8, 1, 1, 42, 1, 3, 2, 11, 4, 1, 85, 1, 4, 11, 2, 3, 1, 42, 1, 1, 8, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- four hundred eighty thousand forty-eight
- Ordinal
- 480048th
- Binary
- 1110101001100110000
- Octal
- 1651460
- Hexadecimal
- 0x75330
- Base64
- B1Mw
- One's complement
- 4,294,487,247 (32-bit)
- Scientific notation
- 4.80048 × 10⁵
- As a duration
- 480,048 s = 5 days, 13 hours, 20 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υπμηʹ
- Chinese
- 四十八萬零四十八
- Chinese (financial)
- 肆拾捌萬零肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 480048, here are decompositions:
- 5 + 480043 = 480048
- 29 + 480019 = 480048
- 31 + 480017 = 480048
- 97 + 479951 = 480048
- 109 + 479939 = 480048
- 139 + 479909 = 480048
- 157 + 479891 = 480048
- 167 + 479881 = 480048
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.83.48.
- Address
- 0.7.83.48
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.83.48
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 480,048 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 480048 first appears in π at position 189,538 of the decimal expansion (the 189,538ordinal-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°.