Search a number
-
+
526968 = 233213563
BaseRepresentation
bin10000000101001111000
3222202212100
42000221320
5113330333
615143400
74323231
oct2005170
9882770
10526968
1132aa12
12214b60
13155b20
14da088
15a6213
hex80a78

526968 has 48 divisors (see below), whose sum is σ = 1539720. Its totient is φ = 161856.

The previous prime is 526963. The next prime is 526993. The reversal of 526968 is 869625.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 655 + ... + 1217.

2526968 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 526968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769860).

526968 is an abundant number, since it is smaller than the sum of its proper divisors (1012752).

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

526968 is a wasteful number, since it uses less digits than its factorization.

526968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 581 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 526968 is about 725.9256160241. The cubic root of 526968 is about 80.7721074852.

The spelling of 526968 in words is "five hundred twenty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 563 936 1126 1689 2252 3378 4504 5067 6756 7319 10134 13512 14638 20268 21957 29276 40536 43914 58552 65871 87828 131742 175656 263484 526968