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832 = 2613
BaseRepresentation
bin1101000000
31010211
431000
511312
63504
72266
oct1500
91124
10832
11697
12594
134c0
14436
153a7
hex340

832 has 14 divisors (see below), whose sum is σ = 1778. Its totient is φ = 384.

The previous prime is 829. The next prime is 839. The reversal of 832 is 238.

Multipling 832 by its sum of digits (13), we get a square (10816 = 1042).

832 divided by its sum of digits (13) gives a 6-th power (64 = 26).

Subtracting from 832 its product of digits (48), we obtain a square (784 = 282).

It can be divided in two parts, 8 and 32, that multiplied together give a 8-th power (256 = 28).

It can be written as a sum of positive squares in only one way, i.e., 576 + 256 = 24^2 + 16^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 7 and base 9.

It is a nialpdrome in base 4 and base 10.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58 + ... + 70.

It is an arithmetic number, because the mean of its divisors is an integer number (127).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889).

832 is an abundant number, since it is smaller than the sum of its proper divisors (946).

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

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

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

The sum of its prime factors is 25 (or 15 counting only the distinct ones).

The product of its digits is 48, while the sum is 13.

The square root of 832 is about 28.8444102037. The cubic root of 832 is about 9.4053387509.

The spelling of 832 in words is "eight hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832