42824824 has 48 divisors (see below), whose sum is σ = 94371480. Its totient is φ = 18164160.

The previous prime is 42824813. The next prime is 42824839. The reversal of 42824824 is 42842824.

It is a happy number.

42824824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42824824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41434 + ... + 42454.

Almost surely, 2^42824824 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 42824824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47185740).

42824824 is an abundant number, since it is smaller than the sum of its proper divisors (51546656).

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

42824824 is a wasteful number, since it uses less digits than its factorization.

42824824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1137 counting only the distinct ones).

The product of its digits is 32768, while the sum is 34.

The square root of 42824824 is about 6544.0678480590. The cubic root of 42824824 is about 349.8634133710.

It can be divided in two parts, 428 and 24824, that added together give a palindrome (25252).

The spelling of 42824824 in words is "forty-two million, eight hundred twenty-four thousand, eight hundred twenty-four".