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52108641 = 3213736101
BaseRepresentation
bin1100011011000…
…1110101100001
310122001101121200
43012301311201
5101314434031
65100511413
71201626144
oct306616541
9118041550
1052108641
1127460aa2
121554b569
13aa46120
146cc605b
1548948e6
hex31b1d61

52108641 has 24 divisors (see below), whose sum is σ = 82181736. Its totient is φ = 31622400.

The previous prime is 52108619. The next prime is 52108681. The reversal of 52108641 is 14680125.

52108641 is a `hidden beast` number, since 5 + 2 + 10 + 8 + 641 = 666.

52108641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4498641 + 47610000 = 2121^2 + 6900^2 .

It is not a de Polignac number, because 52108641 - 29 = 52108129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52108601) 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 23 ways as a sum of consecutive naturals, for example, 5491 + ... + 11591.

It is an arithmetic number, because the mean of its divisors is an integer number (3424239).

Almost surely, 252108641 is an apocalyptic number.

It is an amenable number.

52108641 is a deficient number, since it is larger than the sum of its proper divisors (30073095).

52108641 is a wasteful number, since it uses less digits than its factorization.

52108641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6193 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 52108641 is about 7218.6315185082. The cubic root of 52108641 is about 373.5108731640.

Adding to 52108641 its reverse (14680125), we get a palindrome (66788766).

The spelling of 52108641 in words is "fifty-two million, one hundred eight thousand, six hundred forty-one".

Divisors: 1 3 9 13 39 73 117 219 657 949 2847 6101 8541 18303 54909 79313 237939 445373 713817 1336119 4008357 5789849 17369547 52108641