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38648593 is a prime number
BaseRepresentation
bin1001001101101…
…1101100010001
32200201112220101
42103123230101
534343223333
63500212401
7646336054
oct223335421
980645811
1038648593
111a8a8295
1210b3a101
1380126b9
1451c0a9b
1535d667d
hex24dbb11

38648593 has 2 divisors, whose sum is σ = 38648594. Its totient is φ = 38648592.

The previous prime is 38648591. The next prime is 38648627. The reversal of 38648593 is 39584683.

38648593 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., 37552384 + 1096209 = 6128^2 + 1047^2 .

It is an emirp because it is prime and its reverse (39584683) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38648593 - 21 = 38648591 is a prime.

Together with 38648591, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (38648591) 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, 19324296 + 19324297.

It is an arithmetic number, because the mean of its divisors is an integer number (19324297).

Almost surely, 238648593 is an apocalyptic number.

It is an amenable number.

38648593 is a deficient number, since it is larger than the sum of its proper divisors (1).

38648593 is an equidigital number, since it uses as much as digits as its factorization.

38648593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 622080, while the sum is 46.

The square root of 38648593 is about 6216.7992568524. The cubic root of 38648593 is about 338.0995266120.

The spelling of 38648593 in words is "thirty-eight million, six hundred forty-eight thousand, five hundred ninety-three".