42116952 has 64 divisors (see below), whose sum is σ = 110753280. Its totient is φ = 13329792.

The previous prime is 42116947. The next prime is 42116959. The reversal of 42116952 is 25961124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42116959) 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 15 ways as a sum of consecutive naturals, for example, 37633 + ... + 38735.

It is an arithmetic number, because the mean of its divisors is an integer number (1730520).

Almost surely, 2^42116952 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 42116952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55376640).

42116952 is an abundant number, since it is smaller than the sum of its proper divisors (68636328).

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

42116952 is a wasteful number, since it uses less digits than its factorization.

42116952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1188 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 42116952 is about 6489.7574685037. The cubic root of 42116952 is about 347.9250069610.

The spelling of 42116952 in words is "forty-two million, one hundred sixteen thousand, nine hundred fifty-two".