45931840 has 28 divisors (see below), whose sum is σ = 109375956. Its totient is φ = 18372608.

The previous prime is 45931829. The next prime is 45931843. The reversal of 45931840 is 4813954.

45931840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11451456 + 34480384 = 3384^2 + 5872^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45931796 and 45931805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45931843) 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 3 ways as a sum of consecutive naturals, for example, 71449 + ... + 72088.

Almost surely, 2^45931840 is an apocalyptic number.

45931840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45931840 is an abundant number, since it is smaller than the sum of its proper divisors (63444116).

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

45931840 is a wasteful number, since it uses less digits than its factorization.

45931840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143554 (or 143544 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 45931840 is about 6777.3032985104. The cubic root of 45931840 is about 358.1277282132.

The spelling of 45931840 in words is "forty-five million, nine hundred thirty-one thousand, eight hundred forty".