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52812 = 2234163
BaseRepresentation
bin1100111001001100
32200110000
430321030
53142222
61044300
7306654
oct147114
980400
1052812
1136751
1226690
131b066
1415364
15109ac
hexce4c

52812 has 30 divisors (see below), whose sum is σ = 138908. Its totient is φ = 17496.

The previous prime is 52807. The next prime is 52813. The reversal of 52812 is 21825.

It can be divided in two parts, 528 and 12, that multiplied together give a palindrome (6336).

52812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (52813) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 243 + ... + 405.

252812 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 52812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69454).

52812 is an abundant number, since it is smaller than the sum of its proper divisors (86096).

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

52812 is a wasteful number, since it uses less digits than its factorization.

52812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 168 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 52812 is about 229.8086160265. The cubic root of 52812 is about 37.5183909791.

The spelling of 52812 in words is "fifty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 163 324 326 489 652 978 1467 1956 2934 4401 5868 8802 13203 17604 26406 52812