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4085525718 = 2323743331431
BaseRepresentation
bin1111001110000100…
…0010110011010110
3101112201122012200100
43303201002303112
531331343310333
61513222554530
7203146252461
oct36341026326
911481565610
104085525718
111807199a3a
12960298a46
13501567c51
142aa8582d8
1518da1b213
hexf3842cd6

4085525718 has 96 divisors (see below), whose sum is σ = 9352392192. Its totient is φ = 1287316800.

The previous prime is 4085525707. The next prime is 4085525737. The reversal of 4085525718 is 8175255804.

4085525718 is a `hidden beast` number, since 40 + 8 + 552 + 57 + 1 + 8 = 666.

4085525718 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9478963 + ... + 9479393.

It is an arithmetic number, because the mean of its divisors is an integer number (97420752).

Almost surely, 24085525718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4085525718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676196096).

4085525718 is an abundant number, since it is smaller than the sum of its proper divisors (5266866474).

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

4085525718 is a wasteful number, since it uses less digits than its factorization.

4085525718 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The square root of 4085525718 is about 63918.1172907964. The cubic root of 4085525718 is about 1598.6349970083.

The spelling of 4085525718 in words is "four billion, eighty-five million, five hundred twenty-five thousand, seven hundred eighteen".

Divisors: 1 2 3 6 9 18 37 43 74 86 111 129 222 258 331 333 387 431 662 666 774 862 993 1293 1591 1986 2586 2979 3182 3879 4773 5958 7758 9546 12247 14233 14319 15947 18533 24494 28466 28638 31894 36741 37066 42699 47841 55599 73482 85398 95682 110223 111198 128097 142661 143523 166797 220446 256194 285322 287046 333594 427983 526621 685721 855966 1053242 1283949 1371442 1579863 2057163 2567898 3159726 4114326 4739589 5278457 6134423 6171489 9479178 10556914 12268846 12342978 15835371 18403269 31670742 36806538 47506113 55209807 95012226 110419614 226973651 453947302 680920953 1361841906 2042762859 4085525718