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52393 = 112433
BaseRepresentation
bin1100110010101001
32122212111
430302221
53134033
61042321
7305515
oct146251
978774
1052393
1136400
12263a1
131ab03
1415145
15107cd
hexcca9

52393 has 6 divisors (see below), whose sum is σ = 57722. Its totient is φ = 47520.

The previous prime is 52391. The next prime is 52433. The reversal of 52393 is 39325.

52393 = T2 + T3 + ... + T67.

52393 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 only one way, i.e., 34969 + 17424 = 187^2 + 132^2 .

It is not a de Polignac number, because 52393 - 21 = 52391 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (52391) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 96 + ... + 337.

252393 is an apocalyptic number.

It is an amenable number.

52393 is a deficient number, since it is larger than the sum of its proper divisors (5329).

52393 is a wasteful number, since it uses less digits than its factorization.

52393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 444 counting only the distinct ones).

The product of its digits is 810, while the sum is 22.

The square root of 52393 is about 228.8951725135. The cubic root of 52393 is about 37.4189062426.

It can be divided in two parts, 523 and 93, that added together give a palindrome (616).

The spelling of 52393 in words is "fifty-two thousand, three hundred ninety-three".

Divisors: 1 11 121 433 4763 52393