41823264 has 144 divisors (see below), whose sum is σ = 135481248. Its totient is φ = 11225088.

The previous prime is 41823263. The next prime is 41823277. The reversal of 41823264 is 46232814.

It is a super-2 number, since 2×41823264² = 3498370823227392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (41823263) by changing a digit.

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, 79707 + ... + 80229.

It is an arithmetic number, because the mean of its divisors is an integer number (940842).

Almost surely, 2^41823264 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 41823264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67740624).

41823264 is an abundant number, since it is smaller than the sum of its proper divisors (93657984).

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

41823264 is a wasteful number, since it uses less digits than its factorization.

41823264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 552 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 41823264 is about 6467.0908451946. The cubic root of 41823264 is about 347.1144083155.

The spelling of 41823264 in words is "forty-one million, eight hundred twenty-three thousand, two hundred sixty-four".