Search a number
-
+
4109843892 = 22371121073779
BaseRepresentation
bin1111010011110111…
…0011110110110100
3101121102101200221110
43310331303312310
531404110001032
61515452115020
7203563045110
oct36475636664
911542350843
104109843892
111819999600
12968465a70
135066009bb
142adb88740
15190c217cc
hexf4f73db4

4109843892 has 144 divisors (see below), whose sum is σ = 12162286080. Its totient is φ = 1057235520.

The previous prime is 4109843867. The next prime is 4109843909. The reversal of 4109843892 is 2983489014.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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, 1085659 + ... + 1089437.

It is an arithmetic number, because the mean of its divisors is an integer number (84460320).

Almost surely, 24109843892 is an apocalyptic number.

4109843892 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4109843892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081143040).

4109843892 is an abundant number, since it is smaller than the sum of its proper divisors (8052442188).

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

4109843892 is a wasteful number, since it uses less digits than its factorization.

4109843892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 4109843892 is about 64108.0641729260. The cubic root of 4109843892 is about 1601.8005630770.

The spelling of 4109843892 in words is "four billion, one hundred nine million, eight hundred forty-three thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 107 121 132 154 214 231 242 308 321 363 428 462 484 642 726 749 847 924 1177 1284 1452 1498 1694 2247 2354 2541 2996 3388 3531 3779 4494 4708 5082 7062 7558 8239 8988 10164 11337 12947 14124 15116 16478 22674 24717 25894 26453 32956 38841 41569 45348 49434 51788 52906 77682 79359 83138 90629 98868 105812 124707 155364 158718 166276 181258 249414 271887 290983 317436 362516 404353 457259 498828 543774 581966 808706 872949 914518 1087548 1163932 1213059 1371777 1617412 1745898 1829036 2426118 2743554 2830471 3200813 3491796 4447883 4852236 5487108 5660942 6401626 8491413 8895766 9602439 11321884 12803252 13343649 16982826 17791532 19204878 26687298 31135181 33965652 38409756 48926713 53374596 62270362 93405543 97853426 124540724 146780139 186811086 195706852 293560278 342486991 373622172 587120556 684973982 1027460973 1369947964 2054921946 4109843892