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36047993 is a prime number
BaseRepresentation
bin1000100110000…
…0110001111001
32111211102112212
42021200301321
533212013433
63324344505
7615255122
oct211406171
974742485
1036047993
1119391433
12100a5135
137611a97
144b05049
153270d48
hex2260c79

36047993 has 2 divisors, whose sum is σ = 36047994. Its totient is φ = 36047992.

The previous prime is 36047989. The next prime is 36048029. The reversal of 36047993 is 39974063.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26543104 + 9504889 = 5152^2 + 3083^2 .

It is an emirp because it is prime and its reverse (39974063) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36047993 - 22 = 36047989 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36047993.

It is not a weakly prime, because it can be changed into another prime (36047903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18023996 + 18023997.

It is an arithmetic number, because the mean of its divisors is an integer number (18023997).

Almost surely, 236047993 is an apocalyptic number.

It is an amenable number.

36047993 is a deficient number, since it is larger than the sum of its proper divisors (1).

36047993 is an equidigital number, since it uses as much as digits as its factorization.

36047993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122472, while the sum is 41.

The square root of 36047993 is about 6003.9980846100. The cubic root of 36047993 is about 330.3393906543.

The spelling of 36047993 in words is "thirty-six million, forty-seven thousand, nine hundred ninety-three".