Search a number
-
+
52884 = 223213113
BaseRepresentation
bin1100111010010100
32200112200
430322110
53143014
61044500
7310116
oct147224
980480
1052884
1136807
1226730
131b0c0
14153b6
1510a09
hexce94

52884 has 36 divisors (see below), whose sum is σ = 145236. Its totient is φ = 16128.

The previous prime is 52883. The next prime is 52889. The reversal of 52884 is 48825.

52884 = 253 + 263 + 273.

52884 is digitally balanced in base 2 and base 4, because in such bases 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 3600 + 49284 = 60^2 + 222^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52884.

It is not an unprimeable number, because it can be changed into a prime (52883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 412 + ... + 524.

252884 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 52884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72618).

52884 is an abundant number, since it is smaller than the sum of its proper divisors (92352).

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

52884 is a wasteful number, since it uses less digits than its factorization.

52884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 131 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 52884 is about 229.9652147608. The cubic root of 52884 is about 37.5354331759.

The spelling of 52884 in words is "fifty-two thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 113 117 156 226 234 339 452 468 678 1017 1356 1469 2034 2938 4068 4407 5876 8814 13221 17628 26442 52884