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444950568 = 233211235503
BaseRepresentation
bin11010100001010…
…110100000101000
31011000020211102200
4122201112200220
51402401404233
6112052500200
714012005656
oct3241264050
91130224380
10444950568
11209187a47
1210501a660
137124c57a
1443145dd6
15290e2313
hex1a856828

444950568 has 48 divisors (see below), whose sum is σ = 1206366720. Its totient is φ = 148157856.

The previous prime is 444950563. The next prime is 444950591. The reversal of 444950568 is 865059444.

444950568 is a `hidden beast` number, since 44 + 49 + 5 + 0 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (444950563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78105 + ... + 83607.

It is an arithmetic number, because the mean of its divisors is an integer number (25132640).

Almost surely, 2444950568 is an apocalyptic number.

It is an amenable number.

444950568 is an abundant number, since it is smaller than the sum of its proper divisors (761416152).

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

444950568 is a wasteful number, since it uses less digits than its factorization.

444950568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6638 (or 6631 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 444950568 is about 21093.8514264228. The cubic root of 444950568 is about 763.4324018980.

The spelling of 444950568 in words is "four hundred forty-four million, nine hundred fifty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1123 2246 3369 4492 5503 6738 8984 10107 11006 13476 16509 20214 22012 26952 33018 40428 44024 49527 66036 80856 99054 132072 198108 396216 6179869 12359738 18539607 24719476 37079214 49438952 55618821 74158428 111237642 148316856 222475284 444950568