Search a number
-
+
5069283828 = 22372193111459
BaseRepresentation
bin1001011100010011…
…10010000111110100
3111002021202022002220
410232021302013310
540340214040303
62155004202340
7236423126100
oct45611620764
914067668086
105069283828
112171529a74
12b958393b0
1362a30943b
14361378900
151ea090053
hex12e2721f4

5069283828 has 144 divisors (see below), whose sum is σ = 14540198400. Its totient is φ = 1366787520.

The previous prime is 5069283763. The next prime is 5069283853. The reversal of 5069283828 is 8283829605.

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, 3473763 + ... + 3475221.

It is an arithmetic number, because the mean of its divisors is an integer number (100973600).

Almost surely, 25069283828 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 5069283828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270099200).

5069283828 is an abundant number, since it is smaller than the sum of its proper divisors (9470914572).

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

5069283828 is a wasteful number, since it uses less digits than its factorization.

5069283828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 5069283828 is about 71198.9032780702. The cubic root of 5069283828 is about 1717.8379888632.

The spelling of 5069283828 in words is "five billion, sixty-nine million, two hundred eighty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 311 399 532 588 622 798 931 933 1244 1459 1596 1862 1866 2177 2793 2918 3724 3732 4354 4377 5586 5836 5909 6531 8708 8754 10213 11172 11818 13062 15239 17508 17727 20426 23636 26124 27721 30478 30639 35454 40852 41363 45717 55442 60956 61278 70908 71491 82726 83163 91434 110884 122556 124089 142982 165452 166326 182868 194047 214473 248178 285964 289541 332652 388094 428946 453749 496356 579082 582141 776188 857892 868623 907498 1158164 1164282 1358329 1361247 1737246 1814996 2328564 2716658 2722494 3176243 3474492 4074987 5433316 5444988 6352486 8149974 8621231 9528729 12704972 16299948 17242462 19057458 22233701 25863693 34484924 38114916 44467402 51727386 60348617 66701103 88934804 103454772 120697234 133402206 181045851 241394468 266804412 362091702 422440319 724183404 844880638 1267320957 1689761276 2534641914 5069283828