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47129 is a prime number
BaseRepresentation
bin1011100000011001
32101122112
423200121
53002004
61002105
7254255
oct134031
971575
1047129
1132455
1223335
13185b4
1413265
15de6e
hexb819

47129 has 2 divisors, whose sum is σ = 47130. Its totient is φ = 47128.

The previous prime is 47123. The next prime is 47137. The reversal of 47129 is 92174.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24025 + 23104 = 155^2 + 152^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47129 is a prime.

It is a super-2 number, since 2×471292 = 4442285282, which contains 22 as substring.

It is a Chen prime.

It is a plaindrome in base 12.

It is not a weakly prime, because it can be changed into another prime (47123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23564 + 23565.

It is an arithmetic number, because the mean of its divisors is an integer number (23565).

247129 is an apocalyptic number.

It is an amenable number.

47129 is a deficient number, since it is larger than the sum of its proper divisors (1).

47129 is an equidigital number, since it uses as much as digits as its factorization.

47129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 23.

The square root of 47129 is about 217.0921463342. The cubic root of 47129 is about 36.1212475599.

The spelling of 47129 in words is "forty-seven thousand, one hundred twenty-nine".