Search a number
-
+
52932 = 22311401
BaseRepresentation
bin1100111011000100
32200121110
430323010
53143212
61045020
7310215
oct147304
980543
1052932
1136850
1226770
131b129
141540c
1510a3c
hexcec4

52932 has 24 divisors (see below), whose sum is σ = 135072. Its totient is φ = 16000.

The previous prime is 52919. The next prime is 52937. The reversal of 52932 is 23925.

52932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 52899 and 52908.

It is not an unprimeable number, because it can be changed into a prime (52937) by changing a digit.

52932 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 7 ways as a sum of consecutive naturals, for example, 69 + ... + 332.

It is an arithmetic number, because the mean of its divisors is an integer number (5628).

252932 is an apocalyptic number.

It is an amenable number.

52932 is an abundant number, since it is smaller than the sum of its proper divisors (82140).

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 (67536).

52932 is a wasteful number, since it uses less digits than its factorization.

52932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 52932 is about 230.0695547003. The cubic root of 52932 is about 37.5467860486.

It can be divided in two parts, 529 and 32, that added together give a triangular number (561 = T33).

The spelling of 52932 in words is "fifty-two thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 401 802 1203 1604 2406 4411 4812 8822 13233 17644 26466 52932