Search a number
-
+
36644801 is a prime number
BaseRepresentation
bin1000101111001…
…0011111000001
32112221202012212
42023302133001
533340113201
63345231505
7623322104
oct213623701
975852185
1036644801
1119759866
1210332595
13779061b
144c1c73b
15333cabb
hex22f27c1

36644801 has 2 divisors, whose sum is σ = 36644802. Its totient is φ = 36644800.

The previous prime is 36644791. The next prime is 36644827. The reversal of 36644801 is 10844663.

36644801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33408400 + 3236401 = 5780^2 + 1799^2 .

It is a cyclic number.

It is not a de Polignac number, because 36644801 - 26 = 36644737 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (36644851) 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, 18322400 + 18322401.

It is an arithmetic number, because the mean of its divisors is an integer number (18322401).

Almost surely, 236644801 is an apocalyptic number.

It is an amenable number.

36644801 is a deficient number, since it is larger than the sum of its proper divisors (1).

36644801 is an equidigital number, since it uses as much as digits as its factorization.

36644801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 36644801 is about 6053.4949409411. The cubic root of 36644801 is about 332.1524466826.

The spelling of 36644801 in words is "thirty-six million, six hundred forty-four thousand, eight hundred one".