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52428 = 22317257
BaseRepresentation
bin1100110011001100
32122220210
430303030
53134203
61042420
7305565
oct146314
978823
1052428
1136432
1226410
131ab2c
141516c
1510803
hexcccc

52428 has 24 divisors (see below), whose sum is σ = 130032. Its totient is φ = 16384.

The previous prime is 52391. The next prime is 52433. The reversal of 52428 is 82425.

52428 is nontrivially palindromic in base 16.

52428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

52428 is an undulating number in base 4.

52428 is a nontrivial repdigit in base 16.

It is a plaindrome in base 16.

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is an unprimeable number.

52428 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

In principle, a polygon with 52428 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76 + ... + 332.

It is an arithmetic number, because the mean of its divisors is an integer number (5418).

252428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65016).

52428 is an abundant number, since it is smaller than the sum of its proper divisors (77604).

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

52428 is a wasteful number, since it uses less digits than its factorization.

52428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 279 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 52428 is about 228.9716139612. The cubic root of 52428 is about 37.4272366824.

The spelling of 52428 in words is "fifty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 257 514 771 1028 1542 3084 4369 8738 13107 17476 26214 52428