41952735 has 96 divisors (see below), whose sum is σ = 85333248. Its totient is φ = 19595520.

The previous prime is 41952727. The next prime is 41952737. The reversal of 41952735 is 53725914.

It is not a de Polignac number, because 41952735 - 2³ = 41952727 is a prime.

Its product of digits (37800) is a multiple of the sum of its prime divisors (135).

It is a self number, because there is not a number n which added to its sum of digits gives 41952735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41952737) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 574659 + ... + 574731.

It is an arithmetic number, because the mean of its divisors is an integer number (888888).

Almost surely, 2^41952735 is an apocalyptic number.

41952735 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41952735 is an abundant number, since it is smaller than the sum of its proper divisors (43380513).

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

41952735 is a wasteful number, since it uses less digits than its factorization.

41952735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 41952735 is about 6477.0930979877. The cubic root of 41952735 is about 347.4722231649.

The spelling of 41952735 in words is "forty-one million, nine hundred fifty-two thousand, seven hundred thirty-five".