41829536 has 96 divisors (see below), whose sum is σ = 99590400. Its totient is φ = 17273088.

The previous prime is 41829533. The next prime is 41829539. The reversal of 41829536 is 63592814.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41829533) and next prime (41829539).

It is a self number, because there is not a number n which added to its sum of digits gives 41829536.

It is not an unprimeable number, because it can be changed into a prime (41829533) 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 15 ways as a sum of consecutive naturals, for example, 406061 + ... + 406163.

It is an arithmetic number, because the mean of its divisors is an integer number (1037400).

Almost surely, 2^41829536 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 41829536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49795200).

41829536 is an abundant number, since it is smaller than the sum of its proper divisors (57760864).

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

41829536 is a wasteful number, since it uses less digits than its factorization.

41829536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 41829536 is about 6467.5757436616. The cubic root of 41829536 is about 347.1317590476.

The spelling of 41829536 in words is "forty-one million, eight hundred twenty-nine thousand, five hundred thirty-six".