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6496 = 25729
BaseRepresentation
bin1100101100000
322220121
41211200
5201441
650024
724640
oct14540
98817
106496
114976
123914
132c59
142520
151dd1
hex1960

6496 has 24 divisors (see below), whose sum is σ = 15120. Its totient is φ = 2688.

The previous prime is 6491. The next prime is 6521. The reversal of 6496 is 6946.

6496 is nontrivially palindromic in base 15.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 6 and 496 contains 6496 itself.

6496 is a modest number, since divided by 96 gives 64 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 6496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6491) by changing a digit.

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, 210 + ... + 238.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

26496 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 6496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560).

6496 is an abundant number, since it is smaller than the sum of its proper divisors (8624).

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

6496 is a wasteful number, since it uses less digits than its factorization.

6496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 38 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 6496 is about 80.5977667184. The cubic root of 6496 is about 18.6587267820.

The spelling of 6496 in words is "six thousand, four hundred ninety-six".