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4075836084 = 22363721021
BaseRepresentation
bin1111001011110000…
…0101001010110100
3101112001101221000000
43302330011022310
531321403223314
61512235151300
7203001015015
oct36274051264
911461357000
104075836084
111801780a81
12958ba5530
134cc554738
142a945500c
1518cc55209
hexf2f052b4

4075836084 has 126 divisors (see below), whose sum is σ = 11001786054. Its totient is φ = 1320598080.

The previous prime is 4075836077. The next prime is 4075836109. The reversal of 4075836084 is 4806385704.

4075836084 is a `hidden beast` number, since 4 + 0 + 7 + 583 + 60 + 8 + 4 = 666.

4075836084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2457383184 + 1618452900 = 49572^2 + 40230^2 .

It is a super-2 number, since 2×40758360842 = 33224879567272910112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3991494 + ... + 3992514.

Almost surely, 24075836084 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 4075836084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500893027).

4075836084 is an abundant number, since it is smaller than the sum of its proper divisors (6925949970).

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

4075836084 is a wasteful number, since it uses less digits than its factorization.

4075836084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4075836084 is about 63842.2750534471. The cubic root of 4075836084 is about 1597.3701699686.

The spelling of 4075836084 in words is "four billion, seventy-five million, eight hundred thirty-six thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 729 972 999 1021 1332 1369 1458 1998 2042 2738 2916 2997 3063 3996 4084 4107 5476 5994 6126 8214 8991 9189 11988 12252 12321 16428 17982 18378 24642 26973 27567 35964 36756 36963 37777 49284 53946 55134 73926 75554 82701 107892 110268 110889 113331 147852 151108 165402 221778 226662 248103 330804 332667 339993 443556 453324 496206 665334 679986 744309 992412 998001 1019979 1330668 1359972 1397749 1488618 1996002 2039958 2795498 2977236 3059937 3992004 4079916 4193247 5590996 6119874 8386494 9179811 12239748 12579741 16772988 18359622 25159482 27539433 36719244 37739223 50318964 55078866 75478446 110157732 113217669 150956892 226435338 339653007 452870676 679306014 1018959021 1358612028 2037918042 4075836084