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38131409 is a prime number
BaseRepresentation
bin1001000101110…
…1011011010001
32122202021110102
42101131123101
534230201114
63441142145
7642053201
oct221353321
978667412
1038131409
111a584768
121092a955
137b91184
1450c8401
1535332de
hex245d6d1

38131409 has 2 divisors, whose sum is σ = 38131410. Its totient is φ = 38131408.

The previous prime is 38131397. The next prime is 38131421. The reversal of 38131409 is 90413183.

38131409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (38131397) and next prime (38131421).

It can be written as a sum of positive squares in only one way, i.e., 38130625 + 784 = 6175^2 + 28^2 .

It is a cyclic number.

It is not a de Polignac number, because 38131409 - 220 = 37082833 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (38131109) 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, 19065704 + 19065705.

It is an arithmetic number, because the mean of its divisors is an integer number (19065705).

Almost surely, 238131409 is an apocalyptic number.

It is an amenable number.

38131409 is a deficient number, since it is larger than the sum of its proper divisors (1).

38131409 is an equidigital number, since it uses as much as digits as its factorization.

38131409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 38131409 is about 6175.0634814551. The cubic root of 38131409 is about 336.5846332606.

The spelling of 38131409 in words is "thirty-eight million, one hundred thirty-one thousand, four hundred nine".