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55338273 = 32371371213
BaseRepresentation
bin1101001100011…
…0010100100001
310212010110211200
43103012110201
5103131311043
65254031413
71241240034
oct323062441
9125113750
1055338273
1129267511
1216648569
13b607153
1474c701b
154cd17d3
hex34c6521

55338273 has 24 divisors (see below), whose sum is σ = 82760808. Its totient is φ = 35603712.

The previous prime is 55338271. The next prime is 55338301. The reversal of 55338273 is 37283355.

55338273 is a `hidden beast` number, since 55 + 338 + 273 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7354944 + 47983329 = 2712^2 + 6927^2 .

It is not a de Polignac number, because 55338273 - 21 = 55338271 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55338271) 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 23 ways as a sum of consecutive naturals, for example, 45015 + ... + 46227.

It is an arithmetic number, because the mean of its divisors is an integer number (3448367).

Almost surely, 255338273 is an apocalyptic number.

It is an amenable number.

55338273 is a deficient number, since it is larger than the sum of its proper divisors (27422535).

55338273 is a wasteful number, since it uses less digits than its factorization.

55338273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1390 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 55338273 is about 7438.9698883649. The cubic root of 55338273 is about 381.0733113726.

It can be divided in two parts, 55338 and 273, that added together give a triangular number (55611 = T333).

The spelling of 55338273 in words is "fifty-five million, three hundred thirty-eight thousand, two hundred seventy-three".

Divisors: 1 3 9 37 111 137 333 411 1213 1233 3639 5069 10917 15207 44881 45621 134643 166181 403929 498543 1495629 6148697 18446091 55338273