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4424 = 23779
BaseRepresentation
bin1000101001000
320001212
41011020
5120144
632252
715620
oct10510
96055
104424
113362
122688
132024
141880
15149e
hex1148

4424 has 16 divisors (see below), whose sum is σ = 9600. Its totient is φ = 1872.

The previous prime is 4423. The next prime is 4441. The reversal of 4424 is 4244.

4424 = T32 + T33 + ... + T38.

4424 = 25 + 35 + ... + 55.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 43 + 23 + 44 + 46 .

It is a plaindrome in base 12, base 15 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 4399 and 4408.

It is not an unprimeable number, because it can be changed into a prime (4421) 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, 17 + ... + 95.

It is an arithmetic number, because the mean of its divisors is an integer number (600).

24424 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 4424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800).

4424 is an abundant number, since it is smaller than the sum of its proper divisors (5176).

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

4424 is a wasteful number, since it uses less digits than its factorization.

4424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 88 counting only the distinct ones).

The product of its digits is 128, while the sum is 14.

The square root of 4424 is about 66.5131565933. The cubic root of 4424 is about 16.4161649063.

Adding to 4424 its reverse (4244), we get a palindrome (8668).

The spelling of 4424 in words is "four thousand, four hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 28 56 79 158 316 553 632 1106 2212 4424