Is 490,200 a Prime Number?
No, 490,200 is not a prime number
Number Properties
- Value:490,200
- Number Type:Even, Positive
- Digit Sum:15
- Total Digits:6
- Binary:1110111101011011000
- Hexadecimal:77AD8
Prime Status
490,200 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 52 × 19 × 43
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 25, 30, 38, 40, 43, 50, 57, 60, 75, 76, 86, 95, 100, 114, 120, 129, 150, 152, 172, 190, 200, 215, 228, 258, 285, 300, 344, 380, 430, 456, 475, 516, 570, 600, 645, 760, 817, 860, 950, 1032, 1075, 1140, 1290, 1425, 1634, 1720, 1900, 2150, 2280, 2451, 2580, 2850, 3225, 3268, 3800, 4085, 4300, 4902, 5160, 5700, 6450, 6536, 8170, 8600, 9804, 11400, 12255, 12900, 16340, 19608, 20425, 24510, 25800, 32680, 40850, 49020, 61275, 81700, 98040, 122550, 163400, 245100, 490200
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.