42833824 has 24 divisors (see below), whose sum is σ = 91996128. Its totient is φ = 19469760.

The previous prime is 42833821. The next prime is 42833849.

42833824 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42833824.

It is not an unprimeable number, because it can be changed into a prime (42833821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60492 + ... + 61195.

It is an arithmetic number, because the mean of its divisors is an integer number (3833172).

Almost surely, 2^42833824 is an apocalyptic number.

42833824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42833824 is an abundant number, since it is smaller than the sum of its proper divisors (49162304).

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

42833824 is a wasteful number, since it uses less digits than its factorization.

42833824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121708 (or 121700 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 42833824 is about 6544.7554576164. The cubic root of 42833824 is about 349.8879205756.

The spelling of 42833824 in words is "forty-two million, eight hundred thirty-three thousand, eight hundred twenty-four".