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4242224 = 2473773
BaseRepresentation
bin10000001011101100110000
321222112020102
4100023230300
52041222344
6230531532
751026000
oct20135460
97875212
104242224
112438278
121506ba8
13b56bbc
147c6000
1558be4e
hex40bb30

4242224 has 40 divisors (see below), whose sum is σ = 9597600. Its totient is φ = 1815744.

The previous prime is 4242223. The next prime is 4242233. The reversal of 4242224 is 4222424.

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

It is a junction number, because it is equal to n+sod(n) for n = 4242196 and 4242205.

It is not an unprimeable number, because it can be changed into a prime (4242223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5102 + ... + 5874.

It is an arithmetic number, because the mean of its divisors is an integer number (239940).

Almost surely, 24242224 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 4242224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798800).

4242224 is an abundant number, since it is smaller than the sum of its proper divisors (5355376).

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

4242224 is an equidigital number, since it uses as much as digits as its factorization.

4242224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 782 counting only the distinct ones).

The product of its digits is 1024, while the sum is 20.

The square root of 4242224 is about 2059.6659923395. The cubic root of 4242224 is about 161.8817406494.

Adding to 4242224 its reverse (4222424), we get a palindrome (8464648).

The spelling of 4242224 in words is "four million, two hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 773 784 1372 1546 2744 3092 5411 5488 6184 10822 12368 21644 37877 43288 75754 86576 151508 265139 303016 530278 606032 1060556 2121112 4242224