42844896 has 96 divisors (see below), whose sum is σ = 132360480. Its totient is φ = 13436928.

The previous prime is 42844831. The next prime is 42844909. The reversal of 42844896 is 69844824.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×42844896² = 3671370226501632, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 13230 + ... + 16146.

It is an arithmetic number, because the mean of its divisors is an integer number (1378755).

Almost surely, 2^42844896 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 42844896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66180240).

42844896 is an abundant number, since it is smaller than the sum of its proper divisors (89515584).

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

42844896 is a wasteful number, since it uses less digits than its factorization.

42844896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2939 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 42844896 is about 6545.6012710827. The cubic root of 42844896 is about 349.9180651743.

It can be divided in two parts, 4284 and 4896, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 42844896 in words is "forty-two million, eight hundred forty-four thousand, eight hundred ninety-six".