42516192 has 48 divisors (see below), whose sum is σ = 112154112. Its totient is φ = 14102400.

The previous prime is 42516191. The next prime is 42516193. The reversal of 42516192 is 29161524.

It is an interprime number because it is at equal distance from previous prime (42516191) and next prime (42516193).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42516191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20817 + ... + 22767.

It is an arithmetic number, because the mean of its divisors is an integer number (2336544).

Almost surely, 2^42516192 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 42516192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56077056).

42516192 is an abundant number, since it is smaller than the sum of its proper divisors (69637920).

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

42516192 is a wasteful number, since it uses less digits than its factorization.

42516192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2183 counting only the distinct ones).

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

The square root of 42516192 is about 6520.4441566507. Note that the first 3 decimals coincide. The cubic root of 42516192 is about 349.0209153783.

The spelling of 42516192 in words is "forty-two million, five hundred sixteen thousand, one hundred ninety-two".