Search a number
-
+
159528 = 23317223
BaseRepresentation
bin100110111100101000
322002211110
4212330220
520101103
63230320
71233045
oct467450
9262743
10159528
11a9946
12783a0
13577c5
14421cc
1532403
hex26f28

159528 has 48 divisors (see below), whose sum is σ = 442080. Its totient is φ = 47872.

The previous prime is 159521. The next prime is 159539. The reversal of 159528 is 825951.

159528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

Its product of digits (3600) is a multiple of the sum of its prime divisors (45).

It is a junction number, because it is equal to n+sod(n) for n = 159495 and 159504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159521) 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, 6925 + ... + 6947.

It is an arithmetic number, because the mean of its divisors is an integer number (9210).

2159528 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 159528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221040).

159528 is an abundant number, since it is smaller than the sum of its proper divisors (282552).

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

159528 is a wasteful number, since it uses less digits than its factorization.

159528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 45 counting only the distinct ones).

The product of its digits is 3600, while the sum is 30.

The square root of 159528 is about 399.4095642320. The cubic root of 159528 is about 54.2349162054.

The spelling of 159528 in words is "one hundred fifty-nine thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 289 391 408 552 578 782 867 1156 1173 1564 1734 2312 2346 3128 3468 4692 6647 6936 9384 13294 19941 26588 39882 53176 79764 159528