42822824 has 32 divisors (see below), whose sum is σ = 87847200. Its totient is φ = 19408320.

The previous prime is 42822817. The next prime is 42822839.

It is a happy number.

42822824 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51242 + ... + 52070.

It is an arithmetic number, because the mean of its divisors is an integer number (2745225).

Almost surely, 2^42822824 is an apocalyptic number.

42822824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42822824 is an abundant number, since it is smaller than the sum of its proper divisors (45024376).

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

42822824 is a wasteful number, since it uses less digits than its factorization.

42822824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1429 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

The square root of 42822824 is about 6543.9150361233. The cubic root of 42822824 is about 349.8579668593.

The spelling of 42822824 in words is "forty-two million, eight hundred twenty-two thousand, eight hundred twenty-four".