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52734 = 23111747
BaseRepresentation
bin1100110111111110
32200100010
430313332
53141414
61044050
7306513
oct146776
980303
1052734
1136690
1226626
131b006
141530a
1510959
hexcdfe

52734 has 32 divisors (see below), whose sum is σ = 124416. Its totient is φ = 14720.

The previous prime is 52733. The next prime is 52747. The reversal of 52734 is 43725.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 52734.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52733) 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, 1099 + ... + 1145.

It is an arithmetic number, because the mean of its divisors is an integer number (3888).

252734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62208).

52734 is an abundant number, since it is smaller than the sum of its proper divisors (71682).

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

52734 is a wasteful number, since it uses less digits than its factorization.

52734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80.

The product of its digits is 840, while the sum is 21.

The square root of 52734 is about 229.6388468879. The cubic root of 52734 is about 37.4999111109.

Subtracting from 52734 its reverse (43725), we obtain a palindrome (9009).

It can be divided in two parts, 527 and 34, that added together give a triangular number (561 = T33).

The spelling of 52734 in words is "fifty-two thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 11 17 22 33 34 47 51 66 94 102 141 187 282 374 517 561 799 1034 1122 1551 1598 2397 3102 4794 8789 17578 26367 52734