41538200 has 96 divisors (see below), whose sum is σ = 107136000. Its totient is φ = 14851200.

The previous prime is 41538197. The next prime is 41538223. The reversal of 41538200 is 283514.

41538200 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 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 23 ways as a sum of consecutive naturals, for example, 173681 + ... + 173919.

It is an arithmetic number, because the mean of its divisors is an integer number (1116000).

Almost surely, 2^41538200 is an apocalyptic number.

41538200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41538200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568000).

41538200 is an abundant number, since it is smaller than the sum of its proper divisors (65597800).

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

41538200 is a wasteful number, since it uses less digits than its factorization.

41538200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 41538200 is about 6445.0135764015. The cubic root of 41538200 is about 346.3239751235.

The spelling of 41538200 in words is "forty-one million, five hundred thirty-eight thousand, two hundred".