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4064841585 = 325783155473
BaseRepresentation
bin1111001001001000…
…1000111101110001
3101111021201100101100
43302102020331301
531311044412320
61511203355013
7202505404050
oct36222107561
911437640340
104064841585
1117a6551712
12955382a69
134ca1a530c
142a7bd2397
1518bcd2790
hexf2488f71

4064841585 has 48 divisors (see below), whose sum is σ = 8149325184. Its totient is φ = 1835813376.

The previous prime is 4064841581. The next prime is 4064841607. The reversal of 4064841585 is 5851484604.

It is a happy number.

4064841585 is a `hidden beast` number, since 4 + 0 + 64 + 8 + 4 + 1 + 585 = 666.

4064841585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4064841585 - 22 = 4064841581 is a prime.

It is a super-2 number, since 2×40648415852 = 33045874222290624450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4064841585.

It is not an unprimeable number, because it can be changed into a prime (4064841581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51592 + ... + 103881.

It is an arithmetic number, because the mean of its divisors is an integer number (169777608).

Almost surely, 24064841585 is an apocalyptic number.

4064841585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4064841585 is an abundant number, since it is smaller than the sum of its proper divisors (4084483599).

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

4064841585 is a wasteful number, since it uses less digits than its factorization.

4064841585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155574 (or 155571 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 4064841585 is about 63756.1101777704. The cubic root of 4064841585 is about 1595.9325835525.

The spelling of 4064841585 in words is "four billion, sixty-four million, eight hundred forty-one thousand, five hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 83 105 249 315 415 581 747 1245 1743 2905 3735 5229 8715 26145 155473 466419 777365 1088311 1399257 2332095 3264933 5441555 6996285 9794799 12904259 16324665 38712777 48973995 64521295 90329813 116138331 193563885 270989439 451649065 580691655 812968317 1354947195 4064841585