49889

49889 is a prime number. It is the 5107th prime number in sequence. As a prime number, it has only two distinct positive divisors: 1 and itself. Its digit sum is 29. The number 49889 can be expressed as the sum of two squares in two ways: 136^2 + 155^2 and 6^2 + 223^2. It is not a palindrome.

In mathematics, prime numbers are fundamental building blocks of the integers. Their study is a significant area within number theory. The distribution of prime numbers has been a long-standing area of mathematical inquiry, with various conjectures and theorems attempting to describe their patterns. The primality of a number like 49889 can be verified through various algorithms, though for larger numbers, this can be computationally intensive. The concept of prime numbers extends to fields beyond basic arithmetic, appearing in cryptography and abstract algebra. The specific properties of 49889, such as its representation as sums of squares, are also topics explored in number theory.