Search a number
-
+
424444224 = 26321110477
BaseRepresentation
bin11001010011001…
…000000101000000
31002120200000000110
4121103020011000
51332124203344
6110041151320
713342500501
oct3123100500
91076600013
10424444224
111a8651256
12ba18b540
1369c1c839
1440528ba8
15273e13b9
hex194c8140

424444224 has 56 divisors (see below), whose sum is σ = 1128438688. Its totient is φ = 140797440.

The previous prime is 424444127. The next prime is 424444247. The reversal of 424444224 is 422444424.

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 = 424444191 and 424444200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35274 + ... + 45750.

Almost surely, 2424444224 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 424444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564219344).

424444224 is an abundant number, since it is smaller than the sum of its proper divisors (703994464).

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

424444224 is a wasteful number, since it uses less digits than its factorization.

424444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10703 (or 10693 counting only the distinct ones).

The product of its digits is 32768, while the sum is 30.

The square root of 424444224 is about 20602.0441704215. The cubic root of 424444224 is about 751.5194228381.

Adding to 424444224 its reverse (422444424), we get a palindrome (846888648).

The spelling of 424444224 in words is "four hundred twenty-four million, four hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 211 422 633 844 1266 1688 2532 3376 5064 6752 10128 10477 13504 20256 20954 31431 40512 41908 62862 83816 125724 167632 251448 335264 502896 670528 1005792 2011584 2210647 4421294 6631941 8842588 13263882 17685176 26527764 35370352 53055528 70740704 106111056 141481408 212222112 424444224