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55365921 = 3213289409
BaseRepresentation
bin1101001100110…
…1000100100001
310212011212202200
43103031010201
5103133202141
65254403413
71241413452
oct323150441
9125155680
1055365921
1129286266
1216660569
13b616900
1474d3129
154cd9ab6
hex34cd121

55365921 has 36 divisors (see below), whose sum is σ = 87785100. Its totient is φ = 33606144.

The previous prime is 55365917. The next prime is 55365941. The reversal of 55365921 is 12956355.

It can be written as a sum of positive squares in 6 ways, for example, as 5239521 + 50126400 = 2289^2 + 7080^2 .

It is not a de Polignac number, because 55365921 - 22 = 55365917 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55365941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 135165 + ... + 135573.

It is an arithmetic number, because the mean of its divisors is an integer number (2438475).

Almost surely, 255365921 is an apocalyptic number.

It is an amenable number.

55365921 is a deficient number, since it is larger than the sum of its proper divisors (32419179).

55365921 is a wasteful number, since it uses less digits than its factorization.

55365921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 514 counting only the distinct ones).

The product of its digits is 40500, while the sum is 36.

The square root of 55365921 is about 7440.8279781218. The cubic root of 55365921 is about 381.1367645078.

The spelling of 55365921 in words is "fifty-five million, three hundred sixty-five thousand, nine hundred twenty-one".

Divisors: 1 3 9 13 39 89 117 169 267 409 507 801 1157 1227 1521 3471 3681 5317 10413 15041 15951 36401 45123 47853 69121 109203 135369 207363 327609 473213 622089 1419639 4258917 6151769 18455307 55365921