Search a number
-
+
26042129 is a prime number
BaseRepresentation
bin110001101010…
…1111100010001
31211000002002022
41203111330101
523131322004
62330101225
7434232401
oct143257421
954002068
1026042129
1113777923
12887a815
13551a659
14365c801
1524462be
hex18d5f11

26042129 has 2 divisors, whose sum is σ = 26042130. Its totient is φ = 26042128.

The previous prime is 26042111. The next prime is 26042131. The reversal of 26042129 is 92124062.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18939904 + 7102225 = 4352^2 + 2665^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-26042129 is a prime.

Together with 26042131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 26042098 and 26042107.

It is not a weakly prime, because it can be changed into another prime (26044129) 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, 13021064 + 13021065.

It is an arithmetic number, because the mean of its divisors is an integer number (13021065).

Almost surely, 226042129 is an apocalyptic number.

It is an amenable number.

26042129 is a deficient number, since it is larger than the sum of its proper divisors (1).

26042129 is an equidigital number, since it uses as much as digits as its factorization.

26042129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 26042129 is about 5103.1489298275. The cubic root of 26042129 is about 296.4095294655.

It can be divided in two parts, 260 and 42129, that multiplied together give a triangular number (10953540 = T4680).

The spelling of 26042129 in words is "twenty-six million, forty-two thousand, one hundred twenty-nine".