45744642 has 32 divisors (see below), whose sum is σ = 102072960. Its totient is φ = 15185520.

The previous prime is 45744641. The next prime is 45744653. The reversal of 45744642 is 24644754.

45744642 is a `hidden beast` number, since 4 + 5 + 7 + 4 + 4 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45744597 and 45744606.

It is not an unprimeable number, because it can be changed into a prime (45744641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12592 + ... + 15812.

It is an arithmetic number, because the mean of its divisors is an integer number (3189780).

Almost surely, 2^45744642 is an apocalyptic number.

45744642 is an abundant number, since it is smaller than the sum of its proper divisors (56328318).

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

45744642 is a wasteful number, since it uses less digits than its factorization.

45744642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3489 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 45744642 is about 6763.4785428801. The cubic root of 45744642 is about 357.6405420005.

It can be divided in two parts, 4574 and 4642, that added together give a square (9216 = 96²).

The spelling of 45744642 in words is "forty-five million, seven hundred forty-four thousand, six hundred forty-two".