42109536 has 96 divisors (see below), whose sum is σ = 127346688. Its totient is φ = 11934720.

The previous prime is 42109531. The next prime is 42109547. The reversal of 42109536 is 63590124.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42109531) 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, 149716 + ... + 149996.

It is an arithmetic number, because the mean of its divisors is an integer number (1326528).

Almost surely, 2^42109536 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 42109536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63673344).

42109536 is an abundant number, since it is smaller than the sum of its proper divisors (85237152).

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

42109536 is a wasteful number, since it uses less digits than its factorization.

42109536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 42109536 is about 6489.1860814743. The cubic root of 42109536 is about 347.9045847542.

The spelling of 42109536 in words is "forty-two million, one hundred nine thousand, five hundred thirty-six".