42844824 has 96 divisors (see below), whose sum is σ = 129392640. Its totient is φ = 12696000.

The previous prime is 42844819. The next prime is 42844831.

42844824 = 27³ + 28³ + ... + 114³.

42844824 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36649 + ... + 37799.

It is an arithmetic number, because the mean of its divisors is an integer number (1347840).

Almost surely, 2^42844824 is an apocalyptic number.

42844824 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 42844824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64696320).

42844824 is an abundant number, since it is smaller than the sum of its proper divisors (86547816).

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

42844824 is a wasteful number, since it uses less digits than its factorization.

42844824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1214 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 42844824 is about 6545.5957712037. The cubic root of 42844824 is about 349.9178691641.

The spelling of 42844824 in words is "forty-two million, eight hundred forty-four thousand, eight hundred twenty-four".