42855824 has 40 divisors (see below), whose sum is σ = 92806560. Its totient is φ = 19001600.

The previous prime is 42855817. The next prime is 42855829.

42855824 is nontrivially palindromic in base 10.

42855824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42855829) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4247 + ... + 10185.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 2^42855824 is an apocalyptic number.

42855824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42855824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46403280).

42855824 is an abundant number, since it is smaller than the sum of its proper divisors (49950736).

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

42855824 is a wasteful number, since it uses less digits than its factorization.

42855824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5999 (or 5993 counting only the distinct ones).

The product of its digits is 102400, while the sum is 38.

The square root of 42855824 is about 6546.4359769267. The cubic root of 42855824 is about 349.9478126271.

The spelling of 42855824 in words is "forty-two million, eight hundred fifty-five thousand, eight hundred twenty-four".