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5096 = 237213
BaseRepresentation
bin1001111101000
320222202
41033220
5130341
635332
720600
oct11750
96882
105096
113913
122b48
132420
141c00
15179b
hex13e8

5096 has 24 divisors (see below), whose sum is σ = 11970. Its totient is φ = 2016.

The previous prime is 5087. The next prime is 5099. The reversal of 5096 is 6905.

5096 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in only one way, i.e., 4900 + 196 = 70^2 + 14^2 .

It is an Ulam number.

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

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (5099) by changing a digit.

5096 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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 386 + ... + 398.

25096 is an apocalyptic number.

5096 is a gapful number since it is divisible by the number (56) 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 5096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985).

5096 is an abundant number, since it is smaller than the sum of its proper divisors (6874).

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

5096 is a wasteful number, since it uses less digits than its factorization.

5096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 5096 is about 71.3862731903. The cubic root of 5096 is about 17.2085048979.

It can be divided in two parts, 509 and 6, that added together give a palindrome (515).

The spelling of 5096 in words is "five thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096