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52353 = 337277
BaseRepresentation
bin1100110010000001
32122211000
430302001
53133403
61042213
7305430
oct146201
978730
1052353
1136374
1226369
131aaa2
1415117
15107a3
hexcc81

52353 has 16 divisors (see below), whose sum is σ = 88960. Its totient is φ = 29808.

The previous prime is 52321. The next prime is 52361. The reversal of 52353 is 35325.

Adding to 52353 its reverse (35325), we get a palindrome (87678).

It can be divided in two parts, 523 and 53, that added together give a square (576 = 242).

It is not a de Polignac number, because 52353 - 25 = 52321 is a prime.

It is a Duffinian number.

It is a Curzon number.

52353 is a lucky number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (52313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51 + ... + 327.

It is an arithmetic number, because the mean of its divisors is an integer number (5560).

252353 is an apocalyptic number.

It is an amenable number.

52353 is a deficient number, since it is larger than the sum of its proper divisors (36607).

52353 is a wasteful number, since it uses less digits than its factorization.

52353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its digits is 450, while the sum is 18.

The square root of 52353 is about 228.8077795880. The cubic root of 52353 is about 37.4093811959.

The spelling of 52353 in words is "fifty-two thousand, three hundred fifty-three".

Divisors: 1 3 7 9 21 27 63 189 277 831 1939 2493 5817 7479 17451 52353