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52640129 is a prime number
BaseRepresentation
bin1100100011001…
…1100110000001
310200001101200102
43020303212001
5101433441004
65120132145
71206301523
oct310634601
9120041612
1052640129
1127794343
1215767055
13aba1009
146dc3a13
15494c11e
hex3233981

52640129 has 2 divisors, whose sum is σ = 52640130. Its totient is φ = 52640128.

The previous prime is 52640101. The next prime is 52640131. The reversal of 52640129 is 92104625.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49210225 + 3429904 = 7015^2 + 1852^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-52640129 is a prime.

It is a super-2 number, since 2×526401292 = 5541966362273282, which contains 22 as substring.

Together with 52640131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (52640179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26320064 + 26320065.

It is an arithmetic number, because the mean of its divisors is an integer number (26320065).

Almost surely, 252640129 is an apocalyptic number.

It is an amenable number.

52640129 is a deficient number, since it is larger than the sum of its proper divisors (1).

52640129 is an equidigital number, since it uses as much as digits as its factorization.

52640129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 52640129 is about 7255.3517488816. The cubic root of 52640129 is about 374.7764688574.

The spelling of 52640129 in words is "fifty-two million, six hundred forty thousand, one hundred twenty-nine".