42822384 has 120 divisors (see below), whose sum is σ = 124481616. Its totient is φ = 12672000.

The previous prime is 42822361. The next prime is 42822419. The reversal of 42822384 is 48322824.

42822384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

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 23 ways as a sum of consecutive naturals, for example, 423934 + ... + 424034.

Almost surely, 2^42822384 is an apocalyptic number.

42822384 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 42822384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62240808).

42822384 is an abundant number, since it is smaller than the sum of its proper divisors (81659232).

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

42822384 is a wasteful number, since it uses less digits than its factorization.

42822384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 42822384 is about 6543.8814170185. The cubic root of 42822384 is about 349.8567686039.

It can be divided in two parts, 4282 and 2384, that added together give a palindrome (6666).

The spelling of 42822384 in words is "forty-two million, eight hundred twenty-two thousand, three hundred eighty-four".