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36627049 is a prime number
BaseRepresentation
bin1000101110111…
…0001001101001
32112220211212101
42023232021221
533334031144
63345013401
7623216254
oct213561151
975824771
1036627049
1119747498
1210324261
137785514
144c1609b
1533376d4
hex22ee269

36627049 has 2 divisors, whose sum is σ = 36627050. Its totient is φ = 36627048.

The previous prime is 36627047. The next prime is 36627067. The reversal of 36627049 is 94072663.

36627049 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., 35617024 + 1010025 = 5968^2 + 1005^2 .

It is a cyclic number.

It is not a de Polignac number, because 36627049 - 21 = 36627047 is a prime.

Together with 36627047, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 36626999 and 36627017.

It is not a weakly prime, because it can be changed into another prime (36627043) 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, 18313524 + 18313525.

It is an arithmetic number, because the mean of its divisors is an integer number (18313525).

Almost surely, 236627049 is an apocalyptic number.

It is an amenable number.

36627049 is a deficient number, since it is larger than the sum of its proper divisors (1).

36627049 is an equidigital number, since it uses as much as digits as its factorization.

36627049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 36627049 is about 6052.0285029071. The cubic root of 36627049 is about 332.0988026689.

The spelling of 36627049 in words is "thirty-six million, six hundred twenty-seven thousand, forty-nine".