45972342 has 48 divisors (see below), whose sum is σ = 107872128. Its totient is φ = 14065920.

The previous prime is 45972317. The next prime is 45972361. The reversal of 45972342 is 24327954.

45972342 is a `hidden beast` number, since 4 + 597 + 23 + 42 = 666.

It is a super-2 number, since 2×45972342² = 4226912457929928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45972297 and 45972306.

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, 51742 + ... + 52622.

It is an arithmetic number, because the mean of its divisors is an integer number (2247336).

Almost surely, 2^45972342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45972342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53936064).

45972342 is an abundant number, since it is smaller than the sum of its proper divisors (61899786).

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

45972342 is a wasteful number, since it uses less digits than its factorization.

45972342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1122 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 45972342 is about 6780.2907017325. The cubic root of 45972342 is about 358.2329611550.

The spelling of 45972342 in words is "forty-five million, nine hundred seventy-two thousand, three hundred forty-two".