42952616 has 96 divisors (see below), whose sum is σ = 101232000. Its totient is φ = 16982784.

The previous prime is 42952607. The next prime is 42952627. The reversal of 42952616 is 61625924.

42952616 = 214² + 215² + ... + 517².

It is a happy number.

It is a super-3 number, since 3×42952616³ (a number of 24 digits) contains 333 as substring.

Its product of digits (25920) is a multiple of the sum of its prime divisors (180).

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, 543665 + ... + 543743.

It is an arithmetic number, because the mean of its divisors is an integer number (1054500).

Almost surely, 2^42952616 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 42952616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50616000).

42952616 is an abundant number, since it is smaller than the sum of its proper divisors (58279384).

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

42952616 is a wasteful number, since it uses less digits than its factorization.

42952616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 42952616 is about 6553.8245322865. The cubic root of 42952616 is about 350.2110726839.

The spelling of 42952616 in words is "forty-two million, nine hundred fifty-two thousand, six hundred sixteen".