41813824 has 56 divisors (see below), whose sum is σ = 92491560. Its totient is φ = 18622464.

The previous prime is 41813819. The next prime is 41813833. The reversal of 41813824 is 42831814.

It can be written as a sum of positive squares in 4 ways, for example, as 1364224 + 40449600 = 1168^2 + 6360^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 23262 + ... + 24994.

It is an arithmetic number, because the mean of its divisors is an integer number (1651635).

Almost surely, 2^41813824 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 41813824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46245780).

41813824 is an abundant number, since it is smaller than the sum of its proper divisors (50677736).

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

41813824 is a wasteful number, since it uses less digits than its factorization.

41813824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1777 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 41813824 is about 6466.3609549731. The cubic root of 41813824 is about 347.0882904227.

The spelling of 41813824 in words is "forty-one million, eight hundred thirteen thousand, eight hundred twenty-four".