Is 490,050 a Prime Number?
No, 490,050 is not a prime number
Number Properties
- Value:490,050
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:6
- Binary:1110111101001000010
- Hexadecimal:77A42
Prime Status
490,050 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 34 × 52 × 112
Divisors
Total divisors: 90
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 27, 30, 33, 45, 50, 54, 55, 66, 75, 81, 90, 99, 110, 121, 135, 150, 162, 165, 198, 225, 242, 270, 275, 297, 330, 363, 405, 450, 495, 550, 594, 605, 675, 726, 810, 825, 891, 990, 1089, 1210, 1350, 1485, 1650, 1782, 1815, 2025, 2178, 2475, 2970, 3025, 3267, 3630, 4050, 4455, 4950, 5445, 6050, 6534, 7425, 8910, 9075, 9801, 10890, 14850, 16335, 18150, 19602, 22275, 27225, 32670, 44550, 49005, 54450, 81675, 98010, 163350, 245025, 490050
Explore Nearby Primes
Understanding Prime Numbers
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, it has exactly two distinct positive divisors: 1 and itself.
Properties of Prime Numbers
- Every prime number except 2 is odd
- 2 is the only even prime number
- Prime numbers are infinitely many
- Prime numbers become less frequent as they get larger
- The distribution of primes follows patterns studied in number theory
Importance of Prime Numbers
- Foundation of number theory and pure mathematics
- Essential in cryptography and internet security
- Used in hash functions and random number generation
- Applied in error correction codes and data compression
- Helping solve complex problems in computer science
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, ...
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be represented uniquely as a product of prime numbers, making primes the "building blocks" of all natural numbers.