Search a number
-
+
856528 = 24174767
BaseRepresentation
bin11010001000111010000
31121111221021
43101013100
5204402103
630205224
710165111
oct3210720
91544837
10856528
11535582
12353814
1323cb2a
14184208
1511dbbd
hexd11d0

856528 has 40 divisors (see below), whose sum is σ = 1821312. Its totient is φ = 388608.

The previous prime is 856519. The next prime is 856529. The reversal of 856528 is 825658.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 856493 and 856502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856529) by changing a digit.

856528 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, 12751 + ... + 12817.

2856528 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 856528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910656).

856528 is an abundant number, since it is smaller than the sum of its proper divisors (964784).

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

856528 is a wasteful number, since it uses less digits than its factorization.

856528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 133 counting only the distinct ones).

The product of its digits is 19200, while the sum is 34.

The square root of 856528 is about 925.4879793925. The cubic root of 856528 is about 94.9687062209.

The spelling of 856528 in words is "eight hundred fifty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 47 67 68 94 134 136 188 268 272 376 536 752 799 1072 1139 1598 2278 3149 3196 4556 6298 6392 9112 12596 12784 18224 25192 50384 53533 107066 214132 428264 856528