41283864 has 64 divisors (see below), whose sum is σ = 115632000. Its totient is φ = 13646880.

The previous prime is 41283857. The next prime is 41283883. The reversal of 41283864 is 46838214.

41283864 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 (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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27567 + ... + 29025.

It is an arithmetic number, because the mean of its divisors is an integer number (1806750).

Almost surely, 2^41283864 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 41283864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57816000).

41283864 is an abundant number, since it is smaller than the sum of its proper divisors (74348136).

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

41283864 is a wasteful number, since it uses less digits than its factorization.

41283864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1595 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 41283864 is about 6425.2520573126. The cubic root of 41283864 is about 345.6156869808.

The spelling of 41283864 in words is "forty-one million, two hundred eighty-three thousand, eight hundred sixty-four".