49632

49632 is a prime number. It is the 5098th prime number. It is an odd number. The number 49632 is divisible by 1 and itself. Its prime factorization is 2^4 3 1033. This means that 49632 can be expressed as the product of its prime factors: 2 multiplied by itself four times, then multiplied by 3, and finally multiplied by 1033.

In mathematics, prime numbers are fundamental building blocks. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Numbers like 2, 3, 5, 7, 11, and so on, are examples of prime numbers. The study of prime numbers is a significant area within number theory. The distribution of prime numbers has been a subject of intense mathematical research for centuries, with many famous conjectures and theorems related to their patterns and properties. The prime factorization of any integer greater than 1 is unique, up to the order of the factors, which is known as the fundamental theorem of arithmetic. This theorem highlights the importance of prime numbers as the "atoms" of the integers.