42013836 has 48 divisors (see below), whose sum is σ = 110437600. Its totient is φ = 13812768.

The previous prime is 42013831. The next prime is 42013843. The reversal of 42013836 is 63831024.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42013831) 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, 575496 + ... + 575568.

Almost surely, 2^42013836 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 42013836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55218800).

42013836 is an abundant number, since it is smaller than the sum of its proper divisors (68423764).

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

42013836 is an frugal number, since it uses more digits than its factorization.

42013836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42013836 is about 6481.8080810835. The cubic root of 42013836 is about 347.6408303810.

Multiplying 42013836 by its product of nonzero digits (3456), we get a cube (145199817216 = 5256³).

It can be divided in two parts, 42013 and 836, that added together give a square (42849 = 207²).

The spelling of 42013836 in words is "forty-two million, thirteen thousand, eight hundred thirty-six".