45032052 has 48 divisors (see below), whose sum is σ = 119120960. Its totient is φ = 13125888.

The previous prime is 45032047. The next prime is 45032059. The reversal of 45032052 is 25023054.

45032052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45032059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4633 + ... + 10560.

Almost surely, 2^45032052 is an apocalyptic number.

It is an amenable number.

45032052 is an abundant number, since it is smaller than the sum of its proper divisors (74088908).

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

45032052 is a wasteful number, since it uses less digits than its factorization.

45032052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15232 (or 15230 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 45032052 is about 6710.5925222740. The cubic root of 45032052 is about 355.7737589582.

It can be divided in two parts, 4503 and 2052, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 45032052 in words is "forty-five million, thirty-two thousand, fifty-two".