42001652 has 96 divisors (see below), whose sum is σ = 97542144. Its totient is φ = 15350400.

The previous prime is 42001651. The next prime is 42001667. The reversal of 42001652 is 25610024.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42001651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506003 + ... + 506085.

It is an arithmetic number, because the mean of its divisors is an integer number (1016064).

Almost surely, 2^42001652 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 42001652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48771072).

42001652 is an abundant number, since it is smaller than the sum of its proper divisors (55540492).

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

42001652 is a wasteful number, since it uses less digits than its factorization.

42001652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 42001652 is about 6480.8681517217. The cubic root of 42001652 is about 347.6072218860.

Adding to 42001652 its reverse (25610024), we get a palindrome (67611676).

The spelling of 42001652 in words is "forty-two million, one thousand, six hundred fifty-two".