4248 has 24 divisors (see below), whose sum is σ = 11700. Its totient is φ = 1392.

The previous prime is 4243. The next prime is 4253. The reversal of 4248 is 8424.

It can be divided in two parts, 42 and 48, that multiplied together give a triangular number (2016 = T_{63}).

It is a happy number.

4248 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (4243) and next prime (4253).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as **4**^{2} + **4**^{6} + **2**^{7} + **8** .

Its product of digits (256) is a multiple of the sum of its prime divisors (64).

It is a self number, because there is not a number *n* which added to its sum of digits gives 4248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241) by changing a digit.

4248 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 5 ways as a sum of consecutive naturals, for example, 43 + ... + 101.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850).

4248 is an abundant number, since it is smaller than the sum of its proper divisors (7452).

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

4248 is a wasteful number, since it uses less digits than its factorization.

4248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 64 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 4248 is about 65.1766829472. The cubic root of 4248 is about 16.1955177357.

The spelling of 4248 in words is "four thousand, two hundred forty-eight".

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