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2424 = 233101
BaseRepresentation
bin100101111000
310022210
4211320
534144
615120
710032
oct4570
93283
102424
111904
1214a0
131146
14c52
15ab9
hex978

2424 has 16 divisors (see below), whose sum is σ = 6120. Its totient is φ = 800.

The previous prime is 2423. The next prime is 2437. The reversal of 2424 is 4242.

2424 divided by its sum of digits (12) gives a palindrome (202).

Adding to 2424 its reverse (4242), we get a palindrome (6666).

It can be divided in two parts, 2 and 424, that multiplied together give a palindrome (848).

2424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

2424 is an undulating number in base 10.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27 + ... + 74.

2424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2424 is an abundant number, since it is smaller than the sum of its proper divisors (3696).

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 (3060).

2424 is a wasteful number, since it uses less digits than its factorization.

2424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 106 counting only the distinct ones).

The product of its digits is 64, while the sum is 12.

The square root of 2424 is about 49.2341345004. The cubic root of 2424 is about 13.4331399231.

The spelling of 2424 in words is "two thousand, four hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 24 101 202 303 404 606 808 1212 2424