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4085976906 = 233116878749
BaseRepresentation
bin1111001110001011…
…0000111101001010
3101112202111010121000
43303202300331022
531332002230111
61513240355430
7203153142054
oct36342607512
911482433530
104085976906
111807477a20
12960475b76
1350169541b
142aa9348d4
1518daa9c56
hexf38b0f4a

4085976906 has 32 divisors (see below), whose sum is σ = 9905400000. Its totient is φ = 1238174640.

The previous prime is 4085976899. The next prime is 4085976907. The reversal of 4085976906 is 6096795804.

4085976906 is a `hidden beast` number, since 40 + 8 + 597 + 6 + 9 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4085976907) 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 15 ways as a sum of consecutive naturals, for example, 3438781 + ... + 3439968.

It is an arithmetic number, because the mean of its divisors is an integer number (309543750).

Almost surely, 24085976906 is an apocalyptic number.

4085976906 is an abundant number, since it is smaller than the sum of its proper divisors (5819423094).

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

4085976906 is a wasteful number, since it uses less digits than its factorization.

4085976906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6878771 (or 6878765 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 4085976906 is about 63921.6466152117. The cubic root of 4085976906 is about 1598.6938436478.

The spelling of 4085976906 in words is "four billion, eighty-five million, nine hundred seventy-six thousand, nine hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 6878749 13757498 20636247 41272494 61908741 75666239 123817482 151332478 185726223 226998717 371452446 453997434 680996151 1361992302 2042988453 4085976906