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90008129 is a prime number
BaseRepresentation
bin1010101110101…
…10101001000001
320021100212221102
411113112221001
5141020230004
612533104145
72142025241
oct527265101
9207325842
1090008129
1146897492
1226188055
1315855863
14bd4db21
157d7e11e
hex55d6a41

90008129 has 2 divisors, whose sum is σ = 90008130. Its totient is φ = 90008128.

The previous prime is 90008119. The next prime is 90008137. The reversal of 90008129 is 92180009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89737729 + 270400 = 9473^2 + 520^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-90008129 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (90008119) 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, 45004064 + 45004065.

It is an arithmetic number, because the mean of its divisors is an integer number (45004065).

Almost surely, 290008129 is an apocalyptic number.

It is an amenable number.

90008129 is a deficient number, since it is larger than the sum of its proper divisors (1).

90008129 is an equidigital number, since it uses as much as digits as its factorization.

90008129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 90008129 is about 9487.2614067496. The cubic root of 90008129 is about 448.1539665974.

The spelling of 90008129 in words is "ninety million, eight thousand, one hundred twenty-nine".