Search a number
-
+
3939696288 = 2532113173923
BaseRepresentation
bin1110101011010010…
…1111111010100000
3101011120020022022100
43222310233322200
531032030240123
61450533210400
7166425603003
oct35264577240
911146208270
103939696288
111741946150
1291b490a00
134aa299448
1429533753a
15180d12643
hexead2fea0

3939696288 has 144 divisors (see below), whose sum is σ = 12263692896. Its totient is φ = 1189777920.

The previous prime is 3939696221. The next prime is 3939696301. The reversal of 3939696288 is 8826969393.

It is a Cunningham number, because it is equal to 627672-1.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1002295 + ... + 1006217.

It is an arithmetic number, because the mean of its divisors is an integer number (85164534).

Almost surely, 23939696288 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 3939696288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6131846448).

3939696288 is an abundant number, since it is smaller than the sum of its proper divisors (8323996608).

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

3939696288 is a wasteful number, since it uses less digits than its factorization.

3939696288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4267 (or 4256 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The square root of 3939696288 is about 62766.9999920340. Note that the first 5 decimals coincide. The cubic root of 3939696288 is about 1579.3834436739.

The spelling of 3939696288 in words is "three billion, nine hundred thirty-nine million, six hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 317 352 396 528 634 792 951 1056 1268 1584 1902 2536 2853 3168 3487 3804 3923 5072 5706 6974 7608 7846 10144 10461 11412 11769 13948 15216 15692 20922 22824 23538 27896 30432 31383 31384 35307 41844 43153 45648 47076 55792 62766 62768 70614 83688 86306 91296 94152 111584 125532 125536 129459 141228 167376 172612 188304 251064 258918 282456 334752 345224 376608 388377 502128 517836 564912 690448 776754 1004256 1035672 1129824 1243591 1380896 1553508 2071344 2487182 3107016 3730773 4142688 4974364 6214032 7461546 9948728 11192319 12428064 13679501 14923092 19897456 22384638 27359002 29846184 39794912 41038503 44769276 54718004 59692368 82077006 89538552 109436008 119384736 123115509 164154012 179077104 218872016 246231018 328308024 358154208 437744032 492462036 656616048 984924072 1313232096 1969848144 3939696288