42093282 has 64 divisors (see below), whose sum is σ = 105753600. Its totient is φ = 10850880.

The previous prime is 42093281. The next prime is 42093287. The reversal of 42093282 is 28239024.

It is not an unprimeable number, because it can be changed into a prime (42093281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82444 + ... + 82952.

It is an arithmetic number, because the mean of its divisors is an integer number (1652400).

Almost surely, 2^42093282 is an apocalyptic number.

42093282 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42093282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52876800).

42093282 is an abundant number, since it is smaller than the sum of its proper divisors (63660318).

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

42093282 is a wasteful number, since it uses less digits than its factorization.

42093282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 42093282 is about 6487.9335693270. The cubic root of 42093282 is about 347.8598160439.

The spelling of 42093282 in words is "forty-two million, ninety-three thousand, two hundred eighty-two".