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524229444 = 2232411732053
BaseRepresentation
bin11111001111110…
…001101101000100
31100112102121121100
4133033301231010
52033200320234
6124004020100
715663606504
oct3717615504
91315377540
10524229444
11249a06382
12127691630
13847b964b
144d8a1a04
1531052399
hex1f3f1b44

524229444 has 72 divisors (see below), whose sum is σ = 1365967512. Its totient is φ = 169413120.

The previous prime is 524229443. The next prime is 524229451. The reversal of 524229444 is 444922425.

524229444 is a `hidden beast` number, since 524 + 2 + 2 + 94 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64641600 + 459587844 = 8040^2 + 21438^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 524229399 and 524229408.

It is not an unprimeable number, because it can be changed into a prime (524229443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254322 + ... + 256374.

It is an arithmetic number, because the mean of its divisors is an integer number (18971771).

Almost surely, 2524229444 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 524229444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682983756).

524229444 is an abundant number, since it is smaller than the sum of its proper divisors (841738068).

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

524229444 is a wasteful number, since it uses less digits than its factorization.

524229444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2272 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 524229444 is about 22896.0573898652. The cubic root of 524229444 is about 806.3194513094.

The spelling of 524229444 in words is "five hundred twenty-four million, two hundred twenty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 173 246 346 369 492 519 692 738 1038 1476 1557 2053 2076 3114 4106 6159 6228 7093 8212 12318 14186 18477 21279 24636 28372 36954 42558 63837 73908 84173 85116 127674 168346 252519 255348 336692 355169 505038 710338 757557 1010076 1065507 1420676 1515114 2131014 3030228 3196521 4262028 6393042 12786084 14561929 29123858 43685787 58247716 87371574 131057361 174743148 262114722 524229444