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796928 = 2811283
BaseRepresentation
bin11000010100100000000
31111111011212
43002210000
5201000203
625025252
76526256
oct3024400
91444155
10796928
114a4820
12325228
1321b972
1416a5d6
1510b1d8
hexc2900

796928 has 36 divisors (see below), whose sum is σ = 1741488. Its totient is φ = 360960.

The previous prime is 796921. The next prime is 796931. The reversal of 796928 is 829697.

796928 is nontrivially palindromic in base 7.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (796921) by changing a digit.

796928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2675 + ... + 2957.

2796928 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 796928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870744).

796928 is an abundant number, since it is smaller than the sum of its proper divisors (944560).

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

796928 is a wasteful number, since it uses less digits than its factorization.

796928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 296 counting only the distinct ones).

The product of its digits is 54432, while the sum is 41.

The square root of 796928 is about 892.7082390121. The cubic root of 796928 is about 92.7127995772.

It can be divided in two parts, 7969 and 28, that added together give a palindrome (7997).

The spelling of 796928 in words is "seven hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 283 352 566 704 1132 1408 2264 2816 3113 4528 6226 9056 12452 18112 24904 36224 49808 72448 99616 199232 398464 796928