Search a number
-
+
55358105 = 5112372473
BaseRepresentation
bin1101001100101…
…1001010011001
310212011111001012
43103023022121
5103132424410
65254303305
71241351615
oct323131231
9125144035
1055358105
1129280400
1216657b35
13b61319a
1474d0345
154cd7605
hex34cb299

55358105 has 24 divisors (see below), whose sum is σ = 75021576. Its totient is φ = 39156480.

The previous prime is 55358099. The next prime is 55358113. The reversal of 55358105 is 50185355.

55358105 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 4 ways, for example, as 21752896 + 33605209 = 4664^2 + 5797^2 .

It is not a de Polignac number, because 55358105 - 212 = 55354009 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21149 + ... + 23621.

It is an arithmetic number, because the mean of its divisors is an integer number (3125899).

Almost surely, 255358105 is an apocalyptic number.

55358105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55358105 is a deficient number, since it is larger than the sum of its proper divisors (19663471).

55358105 is a wasteful number, since it uses less digits than its factorization.

55358105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 32.

The square root of 55358105 is about 7440.3027492166. The cubic root of 55358105 is about 381.1188286543.

The spelling of 55358105 in words is "fifty-five million, three hundred fifty-eight thousand, one hundred five".

Divisors: 1 5 11 37 55 121 185 407 605 2035 2473 4477 12365 22385 27203 91501 136015 299233 457505 1006511 1496165 5032555 11071621 55358105