45947792 has 40 divisors (see below), whose sum is σ = 98511552. Its totient is φ = 20585600.

The previous prime is 45947791. The next prime is 45947801. The reversal of 45947792 is 29774954.

45947792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45947792² = 4222399179350528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45947791) 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 7 ways as a sum of consecutive naturals, for example, 10658 + ... + 14334.

Almost surely, 2^45947792 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 45947792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49255776).

45947792 is an abundant number, since it is smaller than the sum of its proper divisors (52563760).

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

45947792 is a wasteful number, since it uses less digits than its factorization.

45947792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3761 counting only the distinct ones).

The product of its digits is 635040, while the sum is 47.

The square root of 45947792 is about 6778.4800656194. The cubic root of 45947792 is about 358.1691823352.

The spelling of 45947792 in words is "forty-five million, nine hundred forty-seven thousand, seven hundred ninety-two".