42005952 has 168 divisors, whose sum is σ = 129993136. Its totient is φ = 13436928.

The previous prime is 42005933. The next prime is 42005983. The reversal of 42005952 is 25950024.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575388 + ... + 575460.

Almost surely, 2^42005952 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 42005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64996568).

42005952 is an abundant number, since it is smaller than the sum of its proper divisors (87987184).

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

42005952 is an equidigital number, since it uses as much as digits as its factorization.

42005952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 42005952 is about 6481.1998889095. The cubic root of 42005952 is about 347.6190838008.

Adding to 42005952 its reverse (25950024), we get a palindrome (67955976).

The spelling of 42005952 in words is "forty-two million, five thousand, nine hundred fifty-two".