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38338129 is a prime number
BaseRepresentation
bin1001001000111…
…1111001010001
32200010210000201
42102033321101
534303310004
63445415201
7643603654
oct222177121
980123021
1038338129
111a706005
1210a0a501
137c342ab
14513d89b
1535746a4
hex248fe51

38338129 has 2 divisors, whose sum is σ = 38338130. Its totient is φ = 38338128.

The previous prime is 38338127. The next prime is 38338151. The reversal of 38338129 is 92183383.

38338129 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., 37797904 + 540225 = 6148^2 + 735^2 .

It is a cyclic number.

It is not a de Polignac number, because 38338129 - 21 = 38338127 is a prime.

Together with 38338127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (38338121) 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, 19169064 + 19169065.

It is an arithmetic number, because the mean of its divisors is an integer number (19169065).

Almost surely, 238338129 is an apocalyptic number.

It is an amenable number.

38338129 is a deficient number, since it is larger than the sum of its proper divisors (1).

38338129 is an equidigital number, since it uses as much as digits as its factorization.

38338129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31104, while the sum is 37.

The square root of 38338129 is about 6191.7791465781. The cubic root of 38338129 is about 337.1917741962.

The spelling of 38338129 in words is "thirty-eight million, three hundred thirty-eight thousand, one hundred twenty-nine".