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41364108 = 2234432969
BaseRepresentation
bin1001110111001…
…0101010001100
32212211111220000
42131302222030
541042122413
64034324300
71011406032
oct235625214
985744800
1041364108
1121392515
1211a29690
138753706
1456ca552
153971073
hex2772a8c

41364108 has 60 divisors (see below), whose sum is σ = 110685960. Its totient is φ = 13462848.

The previous prime is 41364107. The next prime is 41364149. The reversal of 41364108 is 80146314.

41364108 is a `hidden beast` number, since 4 + 13 + 641 + 0 + 8 = 666.

41364108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41364107) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 12448 + ... + 15416.

It is an arithmetic number, because the mean of its divisors is an integer number (1844766).

Almost surely, 241364108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41364108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55342980).

41364108 is an abundant number, since it is smaller than the sum of its proper divisors (69321852).

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

41364108 is a wasteful number, since it uses less digits than its factorization.

41364108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 41364108 is about 6431.4934502027. The cubic root of 41364108 is about 345.8394680030.

The spelling of 41364108 in words is "forty-one million, three hundred sixty-four thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 774 1161 1548 2322 2969 3483 4644 5938 6966 8907 11876 13932 17814 26721 35628 53442 80163 106884 127667 160326 240489 255334 320652 383001 480978 510668 766002 961956 1149003 1532004 2298006 3447009 4596012 6894018 10341027 13788036 20682054 41364108