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52652693 is a prime number
BaseRepresentation
bin1100100011011…
…0101010010101
310200002000220202
43020312222111
5101434341233
65120310245
71206353252
oct310665225
9120060822
1052652693
11277a2825
1215772385
13aba6952
146dc8429
154950be8
hex3236a95

52652693 has 2 divisors, whose sum is σ = 52652694. Its totient is φ = 52652692.

The previous prime is 52652657. The next prime is 52652707. The reversal of 52652693 is 39625625.

52652693 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30393169 + 22259524 = 5513^2 + 4718^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-52652693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52652623) 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, 26326346 + 26326347.

It is an arithmetic number, because the mean of its divisors is an integer number (26326347).

Almost surely, 252652693 is an apocalyptic number.

It is an amenable number.

52652693 is a deficient number, since it is larger than the sum of its proper divisors (1).

52652693 is an equidigital number, since it uses as much as digits as its factorization.

52652693 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 97200, while the sum is 38.

The square root of 52652693 is about 7256.2175408404. The cubic root of 52652693 is about 374.8062833549.

The spelling of 52652693 in words is "fifty-two million, six hundred fifty-two thousand, six hundred ninety-three".