41506032 has 80 divisors (see below), whose sum is σ = 114635520. Its totient is φ = 12902400.

The previous prime is 41505979. The next prime is 41506033. The reversal of 41506032 is 23060514.

It is a happy number.

41506032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41506033) by changing a digit.

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, 64432 + ... + 65072.

It is an arithmetic number, because the mean of its divisors is an integer number (1432944).

Almost surely, 2^41506032 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 41506032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57317760).

41506032 is an abundant number, since it is smaller than the sum of its proper divisors (73129488).

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

41506032 is a wasteful number, since it uses less digits than its factorization.

41506032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 41506032 is about 6442.5175203487. The cubic root of 41506032 is about 346.2345520006.

Adding to 41506032 its reverse (23060514), we get a palindrome (64566546).

The spelling of 41506032 in words is "forty-one million, five hundred six thousand, thirty-two".