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41418 = 2331359
BaseRepresentation
bin1010000111001010
32002211000
422013022
52311133
6515430
7231516
oct120712
962730
1041418
1129133
121bb76
1315b10
1411146
15c413
hexa1ca

41418 has 32 divisors (see below), whose sum is σ = 100800. Its totient is φ = 12528.

The previous prime is 41413. The next prime is 41443. The reversal of 41418 is 81414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

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 41418.

It is not an unprimeable number, because it can be changed into a prime (41411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

241418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50400).

41418 is an abundant number, since it is smaller than the sum of its proper divisors (59382).

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

41418 is a wasteful number, since it uses less digits than its factorization.

41418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 77 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 41418 is about 203.5141272738. The cubic root of 41418 is about 34.5989597290.

The spelling of 41418 in words is "forty-one thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 117 118 177 234 351 354 531 702 767 1062 1534 1593 2301 3186 4602 6903 13806 20709 41418