42010052 has 36 divisors (see below), whose sum is σ = 89248320. Its totient is φ = 17219664.

The previous prime is 42010049. The next prime is 42010063. The reversal of 42010052 is 25001024.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152 + ... + 9167.

It is an arithmetic number, because the mean of its divisors is an integer number (2479120).

Almost surely, 2^42010052 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 42010052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44624160).

42010052 is an abundant number, since it is smaller than the sum of its proper divisors (47238268).

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

42010052 is a wasteful number, since it uses less digits than its factorization.

42010052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9360 (or 9351 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 42010052 is about 6481.5161806479. The cubic root of 42010052 is about 347.6303932447.

Adding to 42010052 its reverse (25001024), we get a palindrome (67011076).

Subtracting from 42010052 its reverse (25001024), we obtain a triangular number (17009028 = T₅₈₃₂).

The spelling of 42010052 in words is "forty-two million, ten thousand, fifty-two".