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52779353 = 1123711789
BaseRepresentation
bin1100100101010…
…1100101011001
310200022110122212
43021111211121
5102002414403
65123124505
71210421444
oct311254531
9120273585
1052779353
1127879a00
1215813735
13ac1c4b3
14701c65b
1549784d8
hex3255959

52779353 has 12 divisors (see below), whose sum is σ = 59586660. Its totient is φ = 46680480.

The previous prime is 52779323. The next prime is 52779379. The reversal of 52779353 is 35397725.

52779353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22165264 + 30614089 = 4708^2 + 5533^2 .

It is not a de Polignac number, because 52779353 - 26 = 52779289 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 52779353.

It is not an unprimeable number, because it can be changed into a prime (52779313) 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 in 11 ways as a sum of consecutive naturals, for example, 1418 + ... + 10371.

It is an arithmetic number, because the mean of its divisors is an integer number (4965555).

Almost surely, 252779353 is an apocalyptic number.

It is an amenable number.

52779353 is a deficient number, since it is larger than the sum of its proper divisors (6807307).

52779353 is a wasteful number, since it uses less digits than its factorization.

52779353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11848 (or 11837 counting only the distinct ones).

The product of its digits is 198450, while the sum is 41.

The square root of 52779353 is about 7264.9399859875. The cubic root of 52779353 is about 375.1065842218.

The spelling of 52779353 in words is "fifty-two million, seven hundred seventy-nine thousand, three hundred fifty-three".

Divisors: 1 11 37 121 407 4477 11789 129679 436193 1426469 4798123 52779353