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3248 = 24729
BaseRepresentation
bin110010110000
311110022
4302300
5100443
623012
712320
oct6260
94408
103248
112493
121a68
13162b
141280
15e68
hexcb0

3248 has 20 divisors (see below), whose sum is σ = 7440. Its totient is φ = 1344.

The previous prime is 3229. The next prime is 3251. The reversal of 3248 is 8423.

It is a Cunningham number, because it is equal to 572-1.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 3 and 248 contains 3248 itself.

3248 is a modest number, since divided by 48 gives 32 as remainder.

It is a nialpdrome in base 16.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3248.

It is an unprimeable 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, 98 + ... + 126.

It is an arithmetic number, because the mean of its divisors is an integer number (372).

23248 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 3248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720).

3248 is an abundant number, since it is smaller than the sum of its proper divisors (4192).

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

3248 is a wasteful number, since it uses less digits than its factorization.

With its successor (3249) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (44).

3248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 38 counting only the distinct ones).

The product of its digits is 192, while the sum is 17.

The square root of 3248 is about 56.9912273951. The cubic root of 3248 is about 14.8094412610.

The spelling of 3248 in words is "three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3248