45936096 has 48 divisors (see below), whose sum is σ = 121850064. Its totient is φ = 15151104.

The previous prime is 45936047. The next prime is 45936097. The reversal of 45936096 is 69063954.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×45936096² = 4220249831442432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45936097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6846 + ... + 11778.

It is an arithmetic number, because the mean of its divisors is an integer number (2538543).

Almost surely, 2^45936096 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 45936096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60925032).

45936096 is an abundant number, since it is smaller than the sum of its proper divisors (75913968).

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

45936096 is a wasteful number, since it uses less digits than its factorization.

45936096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 45936096 is about 6777.6172804312. The cubic root of 45936096 is about 358.1387891282.

The spelling of 45936096 in words is "forty-five million, nine hundred thirty-six thousand, ninety-six".