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52836 = 22371737
BaseRepresentation
bin1100111001100100
32200110220
430321210
53142321
61044340
7310020
oct147144
980426
1052836
1136773
12266b0
131b084
1415380
15109c6
hexce64

52836 has 48 divisors (see below), whose sum is σ = 153216. Its totient is φ = 13824.

The previous prime is 52817. The next prime is 52837. The reversal of 52836 is 63825.

52836 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 is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (52837) by changing a digit.

52836 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1410 + ... + 1446.

It is an arithmetic number, because the mean of its divisors is an integer number (3192).

252836 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 52836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76608).

52836 is an abundant number, since it is smaller than the sum of its proper divisors (100380).

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

52836 is a wasteful number, since it uses less digits than its factorization.

52836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 66 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 52836 is about 229.8608274587. The cubic root of 52836 is about 37.5240734314.

It can be divided in two parts, 52 and 836, that added together give a palindrome (888).

The spelling of 52836 in words is "fifty-two thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 37 42 51 68 74 84 102 111 119 148 204 222 238 259 357 444 476 518 629 714 777 1036 1258 1428 1554 1887 2516 3108 3774 4403 7548 8806 13209 17612 26418 52836