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424041444 = 223225494621
BaseRepresentation
bin11001010001100…
…101101111100100
31002112220112111200
4121101211233210
51332023311234
6110024402500
713336202301
oct3121455744
91075815450
10424041444
111a83a6682
12ba016430
1369b0b3c8
14404620a8
1527361d99
hex19465be4

424041444 has 36 divisors (see below), whose sum is σ = 1072535100. Its totient is φ = 141261120.

The previous prime is 424041419. The next prime is 424041463. The reversal of 424041444 is 444140424.

424041444 is a `hidden beast` number, since 4 + 240 + 414 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 290361600 + 133679844 = 17040^2 + 11562^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4240414442 = 359622292459210272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89454 + ... + 94074.

Almost surely, 2424041444 is an apocalyptic number.

It is an amenable number.

424041444 is an abundant number, since it is smaller than the sum of its proper divisors (648493656).

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

424041444 is a wasteful number, since it uses less digits than its factorization.

424041444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7180 (or 7175 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 424041444 is about 20592.2666066657. The cubic root of 424041444 is about 751.2816273277.

Adding to 424041444 its reverse (444140424), we get a palindrome (868181868).

The spelling of 424041444 in words is "four hundred twenty-four million, forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2549 4621 5098 7647 9242 10196 13863 15294 18484 22941 27726 30588 41589 45882 55452 83178 91764 166356 11778929 23557858 35336787 47115716 70673574 106010361 141347148 212020722 424041444