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5488 = 2473

5488 has 20 divisors (see below), whose sum is σ = 12400. Its totient is φ = 2352.

The previous prime is 5483. The next prime is 5501. The reversal of 5488 is 8845.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5488 is nontrivially palindromic in base 13.

It is a nialpdrome in base 7 and base 14.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5483) by changing a digit.

5488 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 3 ways as a sum of consecutive naturals, for example, 781 + ... + 787.

It is an arithmetic number, because the mean of its divisors is an integer number (620).

25488 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 5488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6200).

5488 is an abundant number, since it is smaller than the sum of its proper divisors (6912).

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

5488 is an equidigital number, since it uses as much as digits as its factorization.

5488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 9 counting only the distinct ones).

The product of its digits is 1280, while the sum is 25.

The square root of 5488 is about 74.0810367098. The cubic root of 5488 is about 17.6388946985.

The spelling of 5488 in words is "five thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2744 5488