42193312 has 72 divisors (see below), whose sum is σ = 98249760. Its totient is φ = 17781120.

The previous prime is 42193301. The next prime is 42193321. The reversal of 42193312 is 21339124.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111139 + ... + 111517.

It is an arithmetic number, because the mean of its divisors is an integer number (1364580).

Almost surely, 2^42193312 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 42193312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49124880).

42193312 is an abundant number, since it is smaller than the sum of its proper divisors (56056448).

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

42193312 is a wasteful number, since it uses less digits than its factorization.

42193312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 459 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 42193312 is about 6495.6379209436. The cubic root of 42193312 is about 348.1351481065.

The spelling of 42193312 in words is "forty-two million, one hundred ninety-three thousand, three hundred twelve".