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36338993 is a prime number
BaseRepresentation
bin1000101010011…
…1110100110001
32112101012201122
42022213310301
533300321433
63334512025
7620606405
oct212476461
975335648
1036338993
1119570029
1210205615
1376b4382
144b7d105
1532cc198
hex22a7d31

36338993 has 2 divisors, whose sum is σ = 36338994. Its totient is φ = 36338992.

The previous prime is 36338989. The next prime is 36339041. The reversal of 36338993 is 39983363.

36338993 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., 36336784 + 2209 = 6028^2 + 47^2 .

It is a cyclic number.

It is not a de Polignac number, because 36338993 - 22 = 36338989 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 (36338983) 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, 18169496 + 18169497.

It is an arithmetic number, because the mean of its divisors is an integer number (18169497).

Almost surely, 236338993 is an apocalyptic number.

It is an amenable number.

36338993 is a deficient number, since it is larger than the sum of its proper divisors (1).

36338993 is an equidigital number, since it uses as much as digits as its factorization.

36338993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 314928, while the sum is 44.

The square root of 36338993 is about 6028.1832254834. The cubic root of 36338993 is about 331.2259055454.

The spelling of 36338993 in words is "thirty-six million, three hundred thirty-eight thousand, nine hundred ninety-three".