45607296 has 192 divisors, whose sum is σ = 149230080. Its totient is φ = 12082176.

The previous prime is 45607283. The next prime is 45607307. The reversal of 45607296 is 69270654.

45607296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 970345 + ... + 970391.

It is an arithmetic number, because the mean of its divisors is an integer number (777240).

Almost surely, 2^45607296 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 45607296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74615040).

45607296 is an abundant number, since it is smaller than the sum of its proper divisors (103622784).

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

45607296 is a wasteful number, since it uses less digits than its factorization.

45607296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 45607296 is about 6753.3174070230. The cubic root of 45607296 is about 357.2822505627.

The spelling of 45607296 in words is "forty-five million, six hundred seven thousand, two hundred ninety-six".