Search a number
-
+
3825885336 = 2337133156509
BaseRepresentation
bin1110010000001010…
…0110000010011000
3100212122002010000220
43210002212002120
530313411312321
61431350000040
7163544326440
oct34402460230
910778063026
103825885336
111693681309
128a9346020
1348c82b5a0
1428418d120
15175d309c6
hexe40a6098

3825885336 has 128 divisors (see below), whose sum is σ = 12151910400. Its totient is φ = 976458240.

The previous prime is 3825885293. The next prime is 3825885337. The reversal of 3825885336 is 6335885283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3825885337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39450 + ... + 95958.

It is an arithmetic number, because the mean of its divisors is an integer number (94936800).

Almost surely, 23825885336 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 3825885336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6075955200).

3825885336 is an abundant number, since it is smaller than the sum of its proper divisors (8326025064).

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

3825885336 is a wasteful number, since it uses less digits than its factorization.

3825885336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56569 (or 56565 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 51.

The square root of 3825885336 is about 61853.7414874800. The cubic root of 3825885336 is about 1564.0260535993.

The spelling of 3825885336 in words is "three billion, eight hundred twenty-five million, eight hundred eighty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 182 186 217 248 273 312 364 372 403 434 546 651 728 744 806 868 1092 1209 1302 1612 1736 2184 2418 2604 2821 3224 4836 5208 5642 8463 9672 11284 16926 22568 33852 56509 67704 113018 169527 226036 339054 395563 452072 678108 734617 791126 1186689 1356216 1469234 1582252 1751779 2203851 2373378 2938468 3164504 3503558 4407702 4746756 5142319 5255337 5876936 7007116 8815404 9493512 10284638 10510674 12262453 14014232 15426957 17630808 20569276 21021348 22773127 24524906 30853914 36787359 41138552 42042696 45546254 49049812 61707828 68319381 73574718 91092508 98099624 123415656 136638762 147149436 159411889 182185016 273277524 294298872 318823778 478235667 546555048 637647556 956471334 1275295112 1912942668 3825885336