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5796 = 2232723
BaseRepresentation
bin1011010100100
321221200
41122210
5141141
642500
722620
oct13244
97850
105796
11439a
123430
13283b
142180
151ab6
hex16a4

5796 has 36 divisors (see below), whose sum is σ = 17472. Its totient is φ = 1584.

The previous prime is 5791. The next prime is 5801. The reversal of 5796 is 6975.

It can be divided in two parts, 579 and 6, that added together give a palindrome (585).

5796 = T34 + T35 + ... + T41.

5796 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (5791) and next prime (5801).

It is a tau number, because it is divible by the number of its divisors (36).

Its product of digits (1890) is a multiple of the sum of its prime divisors (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5791) by changing a digit.

5796 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 11 ways as a sum of consecutive naturals, for example, 241 + ... + 263.

25796 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 5796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8736).

5796 is an abundant number, since it is smaller than the sum of its proper divisors (11676).

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

5796 is a wasteful number, since it uses less digits than its factorization.

5796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 35 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 5796 is about 76.1314652427. The cubic root of 5796 is about 17.9628864926.

The spelling of 5796 in words is "five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796