Search a number
-
+
8108439984 = 2433831012239
BaseRepresentation
bin1111000110100110…
…01111100110110000
3202221002110102121000
413203103033212300
5113101230034414
63420332002000
7404635413501
oct74323174660
922832412530
108108439984
113491003a77
1216a3600300
139c2b503a8
1456cc54ba8
15326cbab09
hex1e34cf9b0

8108439984 has 160 divisors (see below), whose sum is σ = 23798476800. Its totient is φ = 2642630400.

The previous prime is 8108439973. The next prime is 8108440009. The reversal of 8108439984 is 4899348018.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8108439984.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3620337 + ... + 3622575.

It is an arithmetic number, because the mean of its divisors is an integer number (148740480).

Almost surely, 28108439984 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 8108439984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11899238400).

8108439984 is an abundant number, since it is smaller than the sum of its proper divisors (15690036816).

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

8108439984 is a wasteful number, since it uses less digits than its factorization.

8108439984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 8108439984 is about 90046.8765921395. The cubic root of 8108439984 is about 2008.9961393994.

The spelling of 8108439984 in words is "eight billion, one hundred eight million, four hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 101 108 144 166 202 216 249 303 332 404 432 498 606 664 747 808 909 996 1212 1328 1494 1616 1818 1992 2239 2241 2424 2727 2988 3636 3984 4478 4482 4848 5454 5976 6717 7272 8383 8956 8964 10908 11952 13434 14544 16766 17912 17928 20151 21816 25149 26868 33532 35824 35856 40302 43632 50298 53736 60453 67064 75447 80604 100596 107472 120906 134128 150894 161208 185837 201192 226139 226341 241812 301788 322416 371674 402384 452278 452682 483624 557511 603576 678417 743348 904556 905364 967248 1115022 1207152 1356834 1486696 1672533 1809112 1810728 2035251 2230044 2713668 2973392 3345066 3618224 3621456 4070502 4460088 5017599 5427336 6105753 6690132 8141004 8920176 10035198 10854672 12211506 13380264 16282008 18769537 20070396 24423012 26760528 32564016 37539074 40140792 48846024 56308611 75078148 80281584 97692048 112617222 150156296 168925833 225234444 300312592 337851666 450468888 506777499 675703332 900937776 1013554998 1351406664 2027109996 2702813328 4054219992 8108439984