40488
40488 is a even composite number that follows 40487 and precedes 40489. It is composed of 32 distinct factors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 241, 482, 723, 964, 1446, 1687, 1928, 2892, 3374, 5061, 5784, 6748, 10122, 13496, 20244, 40488. Its prime factorization can be written as 2^3 × 3 × 7 × 241. 40488 is classified as a abundant number based on the sum of its proper divisors. In computer science, 40488 is represented as 1001111000101000 in binary and 9E28 in hexadecimal.
Factor Analysis
32 FactorsProperties
The prime factorization (2^3 × 3 × 7 × 241) reveals 6 prime building blocks.
Divisible by 2
40488 ends in 8, so it is even.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
40488 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 24 is not a multiple of 9.
Divisible by 10
40488 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Abundant classification and digit analytics place 40488 within several notable number theory sequences:
Timeline
Deep dive
How 40488 breaks down
40488 carries 32 distinct factors and a digit signature of 24 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 75672, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001111000101000 supports bitwise reasoning, hexadecimal 9E28 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 40488 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 40488 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (40483–40493) to tune search ranges, and educators feature 40488 in worksheets about factor trees. Its binary footprint of length 16 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 40488 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 40488
Is 40488 a prime number?
40488 is composite with 32 total factors and the prime factorization 2^3 × 3 × 7 × 241.
What is the prime factorization of 40488?
It breaks down as 2^3 × 3 × 7 × 241, multiplying the primes 2 × 2 × 2 × 3 × 7 × 241.
How is 40488 represented in binary and hexadecimal?
40488 converts to 1001111000101000 in binary and 9E28 in hexadecimal, which are helpful for computer science applications.
Is 40488 a perfect square, cube, or triangular number?
40488 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 40488?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.