Search a number
-
+
856328 = 231137263
BaseRepresentation
bin11010001000100001000
31121111122212
43101010020
5204400303
630204252
710164404
oct3210410
91544585
10856328
11535410
12353688
1323ca05
14184104
1511dad8
hexd1108

856328 has 32 divisors (see below), whose sum is σ = 1805760. Its totient is φ = 377280.

The previous prime is 856309. The next prime is 856333. The reversal of 856328 is 823658.

It is a junction number, because it is equal to n+sod(n) for n = 856294 and 856303.

It is an unprimeable number.

856328 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, 3125 + ... + 3387.

It is an arithmetic number, because the mean of its divisors is an integer number (56430).

2856328 is an apocalyptic number.

856328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902880).

856328 is an abundant number, since it is smaller than the sum of its proper divisors (949432).

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

856328 is a wasteful number, since it uses less digits than its factorization.

856328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 313 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 856328 is about 925.3799219780. The cubic root of 856328 is about 94.9613138882.

The spelling of 856328 in words is "eight hundred fifty-six thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 263 296 407 526 814 1052 1628 2104 2893 3256 5786 9731 11572 19462 23144 38924 77848 107041 214082 428164 856328