45303152 has 40 divisors (see below), whose sum is σ = 91363200. Its totient is φ = 21738240.

The previous prime is 45303149. The next prime is 45303157. The reversal of 45303152 is 25130354.

It is a super-2 number, since 2×45303152² = 4104751162270208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45303157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73598 + ... + 74210.

It is an arithmetic number, because the mean of its divisors is an integer number (2284080).

Almost surely, 2^45303152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45303152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45681600).

45303152 is an abundant number, since it is smaller than the sum of its proper divisors (46060048).

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

45303152 is a wasteful number, since it uses less digits than its factorization.

45303152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 45303152 is about 6730.7616210946. The cubic root of 45303152 is about 356.4862689591.

The spelling of 45303152 in words is "forty-five million, three hundred three thousand, one hundred fifty-two".