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41804 = 2271493
BaseRepresentation
bin1010001101001100
32010100022
422031030
52314204
6521312
7232610
oct121514
963308
1041804
1129454
1220238
1316049
1411340
15c5be
hexa34c

41804 has 12 divisors (see below), whose sum is σ = 83664. Its totient is φ = 17904.

The previous prime is 41801. The next prime is 41809. The reversal of 41804 is 40814.

It is a happy number.

41804 is an admirable number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (41801) 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 3 ways as a sum of consecutive naturals, for example, 719 + ... + 774.

It is an arithmetic number, because the mean of its divisors is an integer number (6972).

241804 is an apocalyptic number.

It is an amenable number.

41804 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41832).

41804 is a wasteful number, since it uses less digits than its factorization.

41804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 41804 is about 204.4602650884. The cubic root of 41804 is about 34.7061105933.

Subtracting from 41804 its reverse (40814), we obtain a triangular number (990 = T44).

The spelling of 41804 in words is "forty-one thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 1493 2986 5972 10451 20902 41804