45742050 has 96 divisors (see below), whose sum is σ = 130229760. Its totient is φ = 11793600.

The previous prime is 45742033. The next prime is 45742069. The reversal of 45742050 is 5024754.

45742050 is a `hidden beast` number, since 457 + 4 + 205 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41304 + ... + 42396.

It is an arithmetic number, because the mean of its divisors is an integer number (1356560).

Almost surely, 2^45742050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45742050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65114880).

45742050 is an abundant number, since it is smaller than the sum of its proper divisors (84487710).

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

45742050 is a wasteful number, since it uses less digits than its factorization.

45742050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 45742050 is about 6763.2869227913. The cubic root of 45742050 is about 357.6337869522.

The spelling of 45742050 in words is "forty-five million, seven hundred forty-two thousand, fifty".