Search a number
41844 = 22311317

41844 has 24 divisors (see below), whose sum is σ = 106848. Its totient is φ = 12640.

The previous prime is 41843. The next prime is 41849. The reversal of 41844 is 44814.

41844 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 41844.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41844.

It is not an unprimeable number, because it can be changed into a prime (41843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27 + ... + 290.

It is an arithmetic number, because the mean of its divisors is an integer number (4452).

241844 is an apocalyptic number.

41844 is a gapful number since it is divisible by the number (44) 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 41844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53424).

41844 is an abundant number, since it is smaller than the sum of its proper divisors (65004).

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

41844 is a wasteful number, since it uses less digits than its factorization.

41844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 41844 is about 204.5580602176. The cubic root of 41844 is about 34.7171765350.

The spelling of 41844 in words is "forty-one thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 317 634 951 1268 1902 3487 3804 6974 10461 13948 20922 41844