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5748 = 223479

5748 has 12 divisors (see below), whose sum is σ = 13440. Its totient is φ = 1912.

The previous prime is 5743. The next prime is 5749. The reversal of 5748 is 8475.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5741) by changing a digit.

5748 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 3 ways as a sum of consecutive naturals, for example, 228 + ... + 251.

It is an arithmetic number, because the mean of its divisors is an integer number (1120).

25748 is an apocalyptic number.

It is an amenable number.

5748 is an abundant number, since it is smaller than the sum of its proper divisors (7692).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720).

5748 is a wasteful number, since it uses less digits than its factorization.

5748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 484 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 5748 is about 75.8155656841. The cubic root of 5748 is about 17.9131619850.

It can be divided in two parts, 57 and 48, that added together give a triangular number (105 = T14).

The spelling of 5748 in words is "five thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 479 958 1437 1916 2874 5748