45202932 has 72 divisors (see below), whose sum is σ = 121886856. Its totient is φ = 14075904.

The previous prime is 45202921. The next prime is 45202943. The reversal of 45202932 is 23920254.

It is an interprime number because it is at equal distance from previous prime (45202921) and next prime (45202943).

It can be written as a sum of positive squares in 4 ways, for example, as 527076 + 44675856 = 726^2 + 6684^2 .

It is a super-2 number, since 2×45202932² = 4086610122793248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45202896 and 45202905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142438 + ... + 142754.

It is an arithmetic number, because the mean of its divisors is an integer number (1692873).

Almost surely, 2^45202932 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 45202932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60943428).

45202932 is an abundant number, since it is smaller than the sum of its proper divisors (76683924).

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

45202932 is a wasteful number, since it uses less digits than its factorization.

45202932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 45202932 is about 6723.3125764016. The cubic root of 45202932 is about 356.2232009388.

The spelling of 45202932 in words is "forty-five million, two hundred two thousand, nine hundred thirty-two".