42007536 has 60 divisors (see below), whose sum is σ = 118540032. Its totient is φ = 13886208.

The previous prime is 42007529. The next prime is 42007547. The reversal of 42007536 is 63570024.

It is a happy number.

42007536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 17140 + ... + 19436.

Almost surely, 2^42007536 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 42007536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59270016).

42007536 is an abundant number, since it is smaller than the sum of its proper divisors (76532496).

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

42007536 is a wasteful number, since it uses less digits than its factorization.

42007536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 42007536 is about 6481.3220873522. The cubic root of 42007536 is about 347.6234531952.

The spelling of 42007536 in words is "forty-two million, seven thousand, five hundred thirty-six".