42924192 has 96 divisors (see below), whose sum is σ = 120294720. Its totient is φ = 13363200.

The previous prime is 42924157. The next prime is 42924209. The reversal of 42924192 is 29142924.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184108 + ... + 184340.

It is an arithmetic number, because the mean of its divisors is an integer number (1253070).

Almost surely, 2^42924192 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 42924192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60147360).

42924192 is an abundant number, since it is smaller than the sum of its proper divisors (77370528).

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

42924192 is a wasteful number, since it uses less digits than its factorization.

42924192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 42924192 is about 6551.6556686077. The cubic root of 42924192 is about 350.1338046224.

The spelling of 42924192 in words is "forty-two million, nine hundred twenty-four thousand, one hundred ninety-two".