45938268 has 72 divisors (see below), whose sum is σ = 122522400. Its totient is φ = 14484096.

The previous prime is 45938261. The next prime is 45938273. The reversal of 45938268 is 86283954.

It is a super-2 number, since 2×45938268² = 4220648933679648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45938261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89998 + ... + 90506.

It is an arithmetic number, because the mean of its divisors is an integer number (1701700).

Almost surely, 2^45938268 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 45938268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61261200).

45938268 is an abundant number, since it is smaller than the sum of its proper divisors (76584132).

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

45938268 is a wasteful number, since it uses less digits than its factorization.

45938268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 646 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 45938268 is about 6777.7775118397. Note that the first 3 decimals coincide. The cubic root of 45938268 is about 358.1444336740.

The spelling of 45938268 in words is "forty-five million, nine hundred thirty-eight thousand, two hundred sixty-eight".