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38638309 is a prime number
BaseRepresentation
bin1001001101100…
…1001011100101
32200201000210111
42103121023211
534342411214
63500053021
7646264063
oct223311345
980630714
1038638309
111a8a0596
1210b34171
13800ab08
1451bb033
1535d35c4
hex24d92e5

38638309 has 2 divisors, whose sum is σ = 38638310. Its totient is φ = 38638308.

The previous prime is 38638283. The next prime is 38638337. The reversal of 38638309 is 90383683.

38638309 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., 25786084 + 12852225 = 5078^2 + 3585^2 .

It is a cyclic number.

It is not a de Polignac number, because 38638309 - 27 = 38638181 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38638709) 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, 19319154 + 19319155.

It is an arithmetic number, because the mean of its divisors is an integer number (19319155).

Almost surely, 238638309 is an apocalyptic number.

It is an amenable number.

38638309 is a deficient number, since it is larger than the sum of its proper divisors (1).

38638309 is an equidigital number, since it uses as much as digits as its factorization.

38638309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 38638309 is about 6215.9720880969. The cubic root of 38638309 is about 338.0695356627.

The spelling of 38638309 in words is "thirty-eight million, six hundred thirty-eight thousand, three hundred nine".