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36542749 is a prime number
BaseRepresentation
bin1000101101100…
…1100100011101
32112202120020011
42023121210131
533323331444
63343123221
7622415425
oct213314435
975676204
1036542749
111969a121
12102a3511
137756039
144bd3485
15331c734
hex22d991d

36542749 has 2 divisors, whose sum is σ = 36542750. Its totient is φ = 36542748.

The previous prime is 36542689. The next prime is 36542761. The reversal of 36542749 is 94724563.

It is a happy number.

36542749 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., 20884900 + 15657849 = 4570^2 + 3957^2 .

It is a cyclic number.

It is not a de Polignac number, because 36542749 - 27 = 36542621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36552749) 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, 18271374 + 18271375.

It is an arithmetic number, because the mean of its divisors is an integer number (18271375).

Almost surely, 236542749 is an apocalyptic number.

It is an amenable number.

36542749 is a deficient number, since it is larger than the sum of its proper divisors (1).

36542749 is an equidigital number, since it uses as much as digits as its factorization.

36542749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 181440, while the sum is 40.

The square root of 36542749 is about 6045.0598839052. The cubic root of 36542749 is about 331.8438232151.

The spelling of 36542749 in words is "thirty-six million, five hundred forty-two thousand, seven hundred forty-nine".