490
490 is a even composite number that follows 489 and precedes 491. It is composed of 12 distinct factors: 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490. Its prime factorization can be written as 2 × 5 × 7^2. 490 is classified as a abundant number based on the sum of its proper divisors. In computer science, 490 is represented as 111101010 in binary and 1EA in hexadecimal. Historically, it is written as CDXC in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 5 × 7^2) reveals 4 prime building blocks.
Divisible by 2
490 ends in 0, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
490 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 13 is not a multiple of 9.
Divisible by 10
490 ends in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Abundant classification and digit analytics place 490 within several notable number theory sequences:
Timeline
Deep dive
How 490 breaks down
490 carries 12 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 536, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111101010 supports bitwise reasoning, hexadecimal 1EA aligns with computing notation, and the Roman numeral CDXC keeps the encyclopedic tradition alive. These attributes make 490 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 490 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (485–495) to tune search ranges, and educators feature 490 in worksheets about factor trees. Its binary footprint of length 9 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 490 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 490
Is 490 a prime number?
490 is composite with 12 total factors and the prime factorization 2 × 5 × 7^2.
What is the prime factorization of 490?
It breaks down as 2 × 5 × 7^2, multiplying the primes 2 × 5 × 7 × 7.
How is 490 represented in binary and hexadecimal?
490 converts to 111101010 in binary and 1EA in hexadecimal, which are helpful for computer science applications.
Is 490 a perfect square, cube, or triangular number?
490 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 490?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.