45031896 has 256 divisors, whose sum is σ = 161280000. Its totient is φ = 11321856.

The previous prime is 45031891. The next prime is 45031937. The reversal of 45031896 is 69813054.

45031896 = T₂₈₈ + T₂₈₉ + ... + T₆₆₄.

45031896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45031896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45031891) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 569985 + ... + 570063.

It is an arithmetic number, because the mean of its divisors is an integer number (630000).

Almost surely, 2^45031896 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 45031896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640000).

45031896 is an abundant number, since it is smaller than the sum of its proper divisors (116248104).

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

45031896 is a wasteful number, since it uses less digits than its factorization.

45031896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 45031896 is about 6710.5808988492. The cubic root of 45031896 is about 355.7733481340.

The spelling of 45031896 in words is "forty-five million, thirty-one thousand, eight hundred ninety-six".