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41823 = 331549
BaseRepresentation
bin1010001101011111
32010101000
422031133
52314243
6521343
7232635
oct121537
963330
1041823
1129471
1220253
1316062
1411355
15c5d3
hexa35f

41823 has 8 divisors (see below), whose sum is σ = 62000. Its totient is φ = 27864.

The previous prime is 41813. The next prime is 41843. The reversal of 41823 is 32814.

It is a happy number.

It is not a de Polignac number, because 41823 - 26 = 41759 is a prime.

It is a Duffinian number.

41823 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 41796 and 41805.

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 41823.

It is not an unprimeable number, because it can be changed into a prime (41813) 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, 748 + ... + 801.

It is an arithmetic number, because the mean of its divisors is an integer number (7750).

241823 is an apocalyptic number.

41823 is a deficient number, since it is larger than the sum of its proper divisors (20177).

41823 is a wasteful number, since it uses less digits than its factorization.

41823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1552 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 41823 is about 204.5067236059. The cubic root of 41823 is about 34.7113677953.

Subtracting from 41823 its reverse (32814), we obtain a palindrome (9009).

It can be divided in two parts, 418 and 23, that added together give a square (441 = 212).

The spelling of 41823 in words is "forty-one thousand, eight hundred twenty-three".

Divisors: 1 3 9 27 1549 4647 13941 41823