45929952 has 72 divisors (see below), whose sum is σ = 131990040. Its totient is φ = 15148800.

The previous prime is 45929929. The next prime is 45929953. The reversal of 45929952 is 25992954.

45929952 is a `hidden beast` number, since 4 + 592 + 9 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 45929898 and 45929907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45929953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28299 + ... + 29877.

It is an arithmetic number, because the mean of its divisors is an integer number (1833195).

Almost surely, 2^45929952 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 45929952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65995020).

45929952 is an abundant number, since it is smaller than the sum of its proper divisors (86060088).

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

45929952 is a wasteful number, since it uses less digits than its factorization.

45929952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1685 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 45929952 is about 6777.1640086396. The cubic root of 45929952 is about 358.1228212727.

The spelling of 45929952 in words is "forty-five million, nine hundred twenty-nine thousand, nine hundred fifty-two".