42801935 has 24 divisors (see below), whose sum is σ = 56881440. Its totient is φ = 30895040.

The previous prime is 42801911. The next prime is 42801947. The reversal of 42801935 is 53910824.

42801935 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42801935 - 2¹⁴ = 42785551 is a prime.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 158981 + ... + 159249.

It is an arithmetic number, because the mean of its divisors is an integer number (2370060).

Almost surely, 2^42801935 is an apocalyptic number.

42801935 is a deficient number, since it is larger than the sum of its proper divisors (14079505).

42801935 is a wasteful number, since it uses less digits than its factorization.

42801935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 42801935 is about 6542.3187785372. The cubic root of 42801935 is about 349.8010706295.

Subtracting 42801935 from its reverse (53910824), we obtain a square (11108889 = 3333²).

The spelling of 42801935 in words is "forty-two million, eight hundred one thousand, nine hundred thirty-five".