Search a number
-
+
36826513 is a prime number
BaseRepresentation
bin1000110001111…
…0110110010001
32120021222110221
42030132312101
533411422023
63353153041
7625006633
oct214366621
976258427
1036826513
1119873339
12103bb781
137825249
144c68a53
15337685d
hex231ed91

36826513 has 2 divisors, whose sum is σ = 36826514. Its totient is φ = 36826512.

The previous prime is 36826501. The next prime is 36826547. The reversal of 36826513 is 31562863.

36826513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (36826547) can be obtained adding 36826513 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36626704 + 199809 = 6052^2 + 447^2 .

It is a cyclic number.

It is not a de Polignac number, because 36826513 - 29 = 36826001 is a prime.

It is not a weakly prime, because it can be changed into another prime (36826553) 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, 18413256 + 18413257.

It is an arithmetic number, because the mean of its divisors is an integer number (18413257).

Almost surely, 236826513 is an apocalyptic number.

It is an amenable number.

36826513 is a deficient number, since it is larger than the sum of its proper divisors (1).

36826513 is an equidigital number, since it uses as much as digits as its factorization.

36826513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25920, while the sum is 34.

The square root of 36826513 is about 6068.4852310935. The cubic root of 36826513 is about 332.7005607790.

The spelling of 36826513 in words is "thirty-six million, eight hundred twenty-six thousand, five hundred thirteen".