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53368393 = 1337181613
BaseRepresentation
bin1100101110010…
…1011001001001
310201102101200011
43023211121021
5102130242033
65143511521
71215423661
oct313453111
9121371604
1053368393
1128141511
1215a585a1
13b097640
1471331a1
154a42ccd
hex32e5649

53368393 has 16 divisors (see below), whose sum is σ = 59449936. Its totient is φ = 47589120.

The previous prime is 53368387. The next prime is 53368411. The reversal of 53368393 is 39386335.

53368393 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 8 ways, for example, as 20684304 + 32684089 = 4548^2 + 5717^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-53368393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53368493) 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, 86755 + ... + 87367.

It is an arithmetic number, because the mean of its divisors is an integer number (3715621).

Almost surely, 253368393 is an apocalyptic number.

It is an amenable number.

53368393 is a deficient number, since it is larger than the sum of its proper divisors (6081543).

53368393 is a wasteful number, since it uses less digits than its factorization.

53368393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844.

The product of its digits is 174960, while the sum is 40.

The square root of 53368393 is about 7305.3674103360. The cubic root of 53368393 is about 376.4968745093.

The spelling of 53368393 in words is "fifty-three million, three hundred sixty-eight thousand, three hundred ninety-three".

Divisors: 1 13 37 181 481 613 2353 6697 7969 22681 87061 110953 294853 1442389 4105261 53368393