[go: up one dir, main page]

Search a number
-
+
52765681 is a prime number
BaseRepresentation
bin1100100101001…
…0001111110001
310200021202220111
43021102033301
5102002000211
65122541321
71210333543
oct311221761
9120252814
1052765681
112786a701
1215807841
13ac161c7
147017693
154974421
hex32523f1

52765681 has 2 divisors, whose sum is σ = 52765682. Its totient is φ = 52765680.

The previous prime is 52765639. The next prime is 52765721. The reversal of 52765681 is 18656725.

52765681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (52765721) can be obtained adding 52765681 to its sum of digits (40).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52707600 + 58081 = 7260^2 + 241^2 .

It is a cyclic number.

It is not a de Polignac number, because 52765681 - 27 = 52765553 is a prime.

It is a super-3 number, since 3×527656813 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (52765481) 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, 26382840 + 26382841.

It is an arithmetic number, because the mean of its divisors is an integer number (26382841).

Almost surely, 252765681 is an apocalyptic number.

It is an amenable number.

52765681 is a deficient number, since it is larger than the sum of its proper divisors (1).

52765681 is an equidigital number, since it uses as much as digits as its factorization.

52765681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 100800, while the sum is 40.

The square root of 52765681 is about 7263.9989675109. The cubic root of 52765681 is about 375.0741921353.

The spelling of 52765681 in words is "fifty-two million, seven hundred sixty-five thousand, six hundred eighty-one".