45050 has 24 divisors (see below), whose sum is σ = 90396. Its totient is φ = 16640.

The previous prime is 45013. The next prime is 45053. The reversal of 45050 is 5054.

45050 is nontrivially palindromic in base 4 and base 16.

It can be written as a sum of positive squares in 6 ways, for example, as 27889 + 17161 = 167^2 + 131^2 .

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 14.

It is a nialpdrome in base 6.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (45053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 824 + ... + 876.

2⁴⁵⁰⁵⁰ is an apocalyptic number.

45050 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45198).

45050 is a wasteful number, since it uses less digits than its factorization.

45050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 45050 is about 212.2498527679. The cubic root of 45050 is about 35.5821018477.

Adding to 45050 its product of nonzero digits (100), we get a triangular number (45150 = T₃₀₀).

It can be divided in two parts, 450 and 50, that multiplied together give a square (22500 = 150²).

The spelling of 45050 in words is "forty-five thousand, fifty".