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36883841 is a prime number
BaseRepresentation
bin1000110010110…
…0110110000001
32120101220010012
42030230312001
533420240331
63354314305
7625336031
oct214546601
976356105
1036883841
1119902415
1210428995
137845377
144c818c1
15338882b
hex232cd81

36883841 has 2 divisors, whose sum is σ = 36883842. Its totient is φ = 36883840.

The previous prime is 36883823. The next prime is 36883849. The reversal of 36883841 is 14838863.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30019441 + 6864400 = 5479^2 + 2620^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36883841 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36883849) 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, 18441920 + 18441921.

It is an arithmetic number, because the mean of its divisors is an integer number (18441921).

Almost surely, 236883841 is an apocalyptic number.

It is an amenable number.

36883841 is a deficient number, since it is larger than the sum of its proper divisors (1).

36883841 is an equidigital number, since it uses as much as digits as its factorization.

36883841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 110592, while the sum is 41.

The square root of 36883841 is about 6073.2068135376. The cubic root of 36883841 is about 332.8731100984.

The spelling of 36883841 in words is "thirty-six million, eight hundred eighty-three thousand, eight hundred forty-one".