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4824 = 233267

4824 has 24 divisors (see below), whose sum is σ = 13260. Its totient is φ = 1584.

The previous prime is 4817. The next prime is 4831. The reversal of 4824 is 4284.

It can be divided in two parts, 4 and 824, that added together give a palindrome (828).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4817) and next prime (4831).

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

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 plaindrome in base 15.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 4797 and 4806.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4824.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39 + ... + 105.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630).

4824 is an abundant number, since it is smaller than the sum of its proper divisors (8436).

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

4824 is a wasteful number, since it uses less digits than its factorization.

4824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 72 counting only the distinct ones).

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

The square root of 4824 is about 69.4550214167. The cubic root of 4824 is about 16.8967210006.

The spelling of 4824 in words is "four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4824