45193344 has 256 divisors, whose sum is σ = 155105280. Its totient is φ = 11354112.

The previous prime is 45193307. The next prime is 45193349. The reversal of 45193344 is 44339154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45193349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1050987 + ... + 1051029.

It is an arithmetic number, because the mean of its divisors is an integer number (605880).

Almost surely, 2^45193344 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 45193344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77552640).

45193344 is an abundant number, since it is smaller than the sum of its proper divisors (109911936).

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

45193344 is a wasteful number, since it uses less digits than its factorization.

45193344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 45193344 is about 6722.5994972183. The cubic root of 45193344 is about 356.1980129742.

The spelling of 45193344 in words is "forty-five million, one hundred ninety-three thousand, three hundred forty-four".