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53385441 = 3312512287
BaseRepresentation
bin1100101110100…
…1100011100001
310201110021001120
43023221203201
5102131313231
65144122453
71215524454
oct313514341
9121407046
1053385441
11281532aa
1215a66429
13b0a2325
14713949b
154a47d96
hex32e98e1

53385441 has 16 divisors (see below), whose sum is σ = 73801728. Its totient is φ = 34290000.

The previous prime is 53385439. The next prime is 53385443. The reversal of 53385441 is 14458335.

Added to its reverse (14458335) it gives a triangular number (67843776 = T11648).

53385441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53385439) and next prime (53385443).

It is not a de Polignac number, because 53385441 - 21 = 53385439 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (53385443) 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 15 ways as a sum of consecutive naturals, for example, 22200 + ... + 24486.

It is an arithmetic number, because the mean of its divisors is an integer number (4612608).

Almost surely, 253385441 is an apocalyptic number.

It is an amenable number.

53385441 is a deficient number, since it is larger than the sum of its proper divisors (20416287).

53385441 is a wasteful number, since it uses less digits than its factorization.

53385441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572.

The product of its digits is 28800, while the sum is 33.

The square root of 53385441 is about 7306.5341304890. The cubic root of 53385441 is about 376.5369596298.

Adding to 53385441 its reverse (14458335), we get a triangular number (67843776 = T11648).

The spelling of 53385441 in words is "fifty-three million, three hundred eighty-five thousand, four hundred forty-one".

Divisors: 1 3 31 93 251 753 2287 6861 7781 23343 70897 212691 574037 1722111 17795147 53385441