45886752 has 72 divisors (see below), whose sum is σ = 131184144. Its totient is φ = 15214464.

The previous prime is 45886741. The next prime is 45886777. The reversal of 45886752 is 25768854.

45886752 is a `hidden beast` number, since 4 + 588 + 67 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 45886698 and 45886707.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 81223 + ... + 81785.

It is an arithmetic number, because the mean of its divisors is an integer number (1822002).

Almost surely, 2^45886752 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 45886752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65592072).

45886752 is an abundant number, since it is smaller than the sum of its proper divisors (85297392).

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

45886752 is a wasteful number, since it uses less digits than its factorization.

45886752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 851 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 45886752 is about 6773.9760849888. The cubic root of 45886752 is about 358.0105070624.

The spelling of 45886752 in words is "forty-five million, eight hundred eighty-six thousand, seven hundred fifty-two".