45355752 has 96 divisors (see below), whose sum is σ = 135233280. Its totient is φ = 13645440.

The previous prime is 45355733. The next prime is 45355753. The reversal of 45355752 is 25755354.

45355752 is a `hidden beast` number, since 4 + 53 + 557 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45355753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43477 + ... + 44507.

It is an arithmetic number, because the mean of its divisors is an integer number (1408680).

Almost surely, 2^45355752 is an apocalyptic number.

45355752 is the 5499-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45355752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67616640).

45355752 is an abundant number, since it is smaller than the sum of its proper divisors (89877528).

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

45355752 is a wasteful number, since it uses less digits than its factorization.

45355752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1096 counting only the distinct ones).

The product of its digits is 105000, while the sum is 36.

The square root of 45355752 is about 6734.6679205437. The cubic root of 45355752 is about 356.6241837581.

The spelling of 45355752 in words is "forty-five million, three hundred fifty-five thousand, seven hundred fifty-two".