488,240
488,240 is a composite number, even.
488,240 (four hundred eighty-eight thousand two hundred forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 17 × 359. Its proper divisors sum to 717,040, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77330.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 26
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 42,884
- Square (n²)
- 238,378,297,600
- Cube (n³)
- 116,385,820,020,224,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 1,205,280
- φ(n) — Euler's totient
- 183,296
- Sum of prime factors
- 389
Primality
Prime factorization: 2 4 × 5 × 17 × 359
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√488,240 = [698; (1, 2, 1, 6, 1, 4, 9, 1, 3, 2, 11, 3, 3, 28, 4, 1, 1, 3, 1, 1, 4, 28, 3, 3, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- four hundred eighty-eight thousand two hundred forty
- Ordinal
- 488240th
- Binary
- 1110111001100110000
- Octal
- 1671460
- Hexadecimal
- 0x77330
- Base64
- B3Mw
- One's complement
- 4,294,479,055 (32-bit)
- Scientific notation
- 4.8824 × 10⁵
- As a duration
- 488,240 s = 5 days, 15 hours, 37 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υπησμʹ
- Chinese
- 四十八萬八千二百四十
- Chinese (financial)
- 肆拾捌萬捌仟貳佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 488240, here are decompositions:
- 7 + 488233 = 488240
- 13 + 488227 = 488240
- 31 + 488209 = 488240
- 37 + 488203 = 488240
- 43 + 488197 = 488240
- 79 + 488161 = 488240
- 97 + 488143 = 488240
- 229 + 488011 = 488240
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.115.48.
- Address
- 0.7.115.48
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.115.48
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 488,240 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 488240 first appears in π at position 1,193 of the decimal expansion (the 1,193ordinal-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°.