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52326 = 2341719
BaseRepresentation
bin1100110001100110
32122210000
430301212
53133301
61042130
7305361
oct146146
978700
1052326
113634a
1226346
131aa81
14150d8
1510786
hexcc66

52326 has 40 divisors (see below), whose sum is σ = 130680. Its totient is φ = 15552.

The previous prime is 52321. The next prime is 52361. The reversal of 52326 is 62325.

52326 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

52326 is a nontrivial binomial coefficient, being equal to C(324, 2).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 52299 and 52308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2745 + ... + 2763.

It is an arithmetic number, because the mean of its divisors is an integer number (3267).

252326 is an apocalyptic number.

52326 is the 323-rd triangular number and also the 162-nd hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65340).

52326 is an abundant number, since it is smaller than the sum of its proper divisors (78354).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52326 is a wasteful number, since it uses less digits than its factorization.

52326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 41 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 52326 is about 228.7487704885. The cubic root of 52326 is about 37.4029490463.

Subtracting 52326 from its reverse (62325), we obtain a palindrome (9999).

It can be divided in two parts, 52 and 326, that added together give a triangular number (378 = T27).

The spelling of 52326 in words is "fifty-two thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 81 102 114 153 162 171 306 323 342 459 513 646 918 969 1026 1377 1539 1938 2754 2907 3078 5814 8721 17442 26163 52326