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52688 = 243789
BaseRepresentation
bin1100110111010000
32200021102
430313100
53141223
61043532
7306416
oct146720
980242
1052688
1136649
12265a8
131ac9c
14152b6
1510928
hexcdd0

52688 has 20 divisors (see below), whose sum is σ = 106020. Its totient is φ = 25344.

The previous prime is 52673. The next prime is 52691. The reversal of 52688 is 88625.

It is a happy number.

52688 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 2 ways, for example, as 29584 + 23104 = 172^2 + 152^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (3840) is a multiple of the sum of its prime divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 52688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 548 + ... + 636.

It is an arithmetic number, because the mean of its divisors is an integer number (5301).

252688 is an apocalyptic number.

It is an amenable number.

52688 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53010).

52688 is a wasteful number, since it uses less digits than its factorization.

52688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 52688 is about 229.5386677665. The cubic root of 52688 is about 37.4890041835.

Subtracting 52688 from its reverse (88625), we obtain a cube (35937 = 333).

The spelling of 52688 in words is "fifty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 37 74 89 148 178 296 356 592 712 1424 3293 6586 13172 26344 52688