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52806749 is a prime number
BaseRepresentation
bin1100100101110…
…0010001011101
310200100212020112
43021130101131
5102004303444
65123455405
71210564352
oct311342135
9120325215
1052806749
1127898546
1215827565
13ac2bac8
147028629
15498169e
hex325c45d

52806749 has 2 divisors, whose sum is σ = 52806750. Its totient is φ = 52806748.

The previous prime is 52806731. The next prime is 52806751. The reversal of 52806749 is 94760825.

52806749 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., 51984100 + 822649 = 7210^2 + 907^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-52806749 is a prime.

Together with 52806751, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52806779) 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, 26403374 + 26403375.

It is an arithmetic number, because the mean of its divisors is an integer number (26403375).

Almost surely, 252806749 is an apocalyptic number.

It is an amenable number.

52806749 is a deficient number, since it is larger than the sum of its proper divisors (1).

52806749 is an equidigital number, since it uses as much as digits as its factorization.

52806749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 52806749 is about 7266.8252352730. The cubic root of 52806749 is about 375.1714747636.

The spelling of 52806749 in words is "fifty-two million, eight hundred six thousand, seven hundred forty-nine".