49200

49200 is an integer in the realm of mathematics. It follows the integer 49199 and precedes the integer 49201. As an even number, it is divisible by 2. Its prime factorization is 2^3 * 3 * 5^2 * 41. This means it is composed of the prime numbers 2, 3, 5, and 41, raised to specific powers.

In terms of its properties, 49200 is a composite number, as it has factors other than 1 and itself. The number of divisors it possesses can be calculated from its prime factorization. By adding 1 to each exponent and multiplying the results, we get (3+1)*(1+1)*(2+1)*(1+1) = 4*2*3*2 = 48 divisors. This indicates a relatively high number of factors for an integer of its magnitude.

The number 49200 might appear in various contexts depending on its application. For example, it could represent a quantity, a measurement, a code, or a specific value within a dataset or problem. Without further context, its significance is limited to its mathematical properties. Its divisibility by common factors like 10, 100, and 1000 makes it a convenient number in certain counting or measurement systems.