Search a number
-
+
3825384732 = 223513973121
BaseRepresentation
bin1110010000000010…
…1011110100011100
3100212121010200100000
43210000223310130
530313244302412
61431331134300
7163540143111
oct34400536434
910777120300
103825384732
11169336a194
128a9144390
1348c6b4780
1428409c908
15175c824dc
hexe402bd1c

3825384732 has 144 divisors (see below), whose sum is σ = 10914062432. Its totient is φ = 1164533760.

The previous prime is 3825384691. The next prime is 3825384737. The reversal of 3825384732 is 2374835283.

3825384732 is a `hidden beast` number, since 3 + 82 + 538 + 4 + 7 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3825384737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1224132 + ... + 1227252.

Almost surely, 23825384732 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 3825384732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457031216).

3825384732 is an abundant number, since it is smaller than the sum of its proper divisors (7088677700).

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

3825384732 is a wasteful number, since it uses less digits than its factorization.

3825384732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250 (or 3236 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 3825384732 is about 61849.6946799255. The cubic root of 3825384732 is about 1563.9578348054.

The spelling of 3825384732 in words is "three billion, eight hundred twenty-five million, three hundred eighty-four thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 97 108 117 156 162 194 234 243 291 324 351 388 468 486 582 702 873 972 1053 1164 1261 1404 1746 2106 2522 2619 3121 3159 3492 3783 4212 5044 5238 6242 6318 7566 7857 9363 10476 11349 12484 12636 15132 15714 18726 22698 23571 28089 31428 34047 37452 40573 45396 47142 56178 68094 81146 84267 94284 102141 112356 121719 136188 162292 168534 204282 243438 252801 302737 306423 337068 365157 408564 486876 505602 605474 612846 730314 758403 908211 1011204 1095471 1210948 1225692 1460628 1516806 1816422 2190942 2724633 3033612 3286413 3632844 3935581 4381884 5449266 6572826 7871162 8173899 9859239 10898532 11806743 13145652 15742324 16347798 19718478 23613486 24521697 32695596 35420229 39436956 47226972 49043394 70840458 73565091 98086788 106260687 141680916 147130182 212521374 294260364 318782061 425042748 637564122 956346183 1275128244 1912692366 3825384732