45629952 has 80 divisors (see below), whose sum is σ = 123807552. Its totient is φ = 14929920.

The previous prime is 45629929. The next prime is 45629959. The reversal of 45629952 is 25992654.

It is not an unprimeable number, because it can be changed into a prime (45629959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93453 + ... + 93939.

Almost surely, 2^45629952 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 45629952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61903776).

45629952 is an abundant number, since it is smaller than the sum of its proper divisors (78177600).

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

45629952 is an equidigital number, since it uses as much as digits as its factorization.

45629952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 553 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 45629952 is about 6754.9945965930. The cubic root of 45629952 is about 357.3414022583.

The spelling of 45629952 in words is "forty-five million, six hundred twenty-nine thousand, nine hundred fifty-two".