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36678241 is a prime number
BaseRepresentation
bin1000101111101…
…0101001100001
32120000110002101
42023322221201
533342200431
63350050401
7623521435
oct213725141
976013071
1036678241
11197819a6
1210349a01
1377a2902
144c2a9c5
153347961
hex22faa61

36678241 has 2 divisors, whose sum is σ = 36678242. Its totient is φ = 36678240.

The previous prime is 36678217. The next prime is 36678259. The reversal of 36678241 is 14287663.

36678241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33177600 + 3500641 = 5760^2 + 1871^2 .

It is a cyclic number.

It is not a de Polignac number, because 36678241 - 217 = 36547169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36678241.

It is not a weakly prime, because it can be changed into another prime (36678541) 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 as a sum of consecutive naturals, namely, 18339120 + 18339121.

It is an arithmetic number, because the mean of its divisors is an integer number (18339121).

Almost surely, 236678241 is an apocalyptic number.

It is an amenable number.

36678241 is a deficient number, since it is larger than the sum of its proper divisors (1).

36678241 is an equidigital number, since it uses as much as digits as its factorization.

36678241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 37.

The square root of 36678241 is about 6056.2563519059. The cubic root of 36678241 is about 332.2534505597.

The spelling of 36678241 in words is "thirty-six million, six hundred seventy-eight thousand, two hundred forty-one".