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36879641 is a prime number
BaseRepresentation
bin1000110010101…
…1110100011001
32120101200100122
42030223310121
533420122031
63354243025
7625320551
oct214536431
976350318
1036879641
11198aa247
1210426475
137843496
144c80161
15338747b
hex232bd19

36879641 has 2 divisors, whose sum is σ = 36879642. Its totient is φ = 36879640.

The previous prime is 36879637. The next prime is 36879643. The reversal of 36879641 is 14697863.

36879641 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., 23078416 + 13801225 = 4804^2 + 3715^2 .

It is an emirp because it is prime and its reverse (14697863) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36879641 - 22 = 36879637 is a prime.

Together with 36879643, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 36879592 and 36879601.

It is not a weakly prime, because it can be changed into another prime (36879643) 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, 18439820 + 18439821.

It is an arithmetic number, because the mean of its divisors is an integer number (18439821).

Almost surely, 236879641 is an apocalyptic number.

It is an amenable number.

36879641 is a deficient number, since it is larger than the sum of its proper divisors (1).

36879641 is an equidigital number, since it uses as much as digits as its factorization.

36879641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 217728, while the sum is 44.

The square root of 36879641 is about 6072.8610226153. The cubic root of 36879641 is about 332.8604747537.

The spelling of 36879641 in words is "thirty-six million, eight hundred seventy-nine thousand, six hundred forty-one".