Search a number
-
+
3968650764 = 223213191313407
BaseRepresentation
bin1110110010001100…
…1100111000001100
3101020120201100101100
43230203030320030
531111433311024
61453445543100
7200226655251
oct35443147014
911216640340
103968650764
111757222071
12929114a90
134b3296580
14299113428
151836317c9
hexec8cce0c

3968650764 has 144 divisors (see below), whose sum is σ = 11462330880. Its totient is φ = 1147685760.

The previous prime is 3968650757. The next prime is 3968650787. The reversal of 3968650764 is 4670568693.

It is a self number, because there is not a number n which added to its sum of digits gives 3968650764.

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, 1163149 + ... + 1166555.

It is an arithmetic number, because the mean of its divisors is an integer number (79599520).

Almost surely, 23968650764 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 3968650764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5731165440).

3968650764 is an abundant number, since it is smaller than the sum of its proper divisors (7493680116).

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

3968650764 is a wasteful number, since it uses less digits than its factorization.

3968650764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 3968650764 is about 62997.2282247402. The cubic root of 3968650764 is about 1583.2431866337.

The spelling of 3968650764 in words is "three billion, nine hundred sixty-eight million, six hundred fifty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 131 156 171 228 234 247 262 342 393 468 494 524 684 741 786 988 1179 1482 1572 1703 2223 2358 2489 2964 3406 3407 4446 4716 4978 5109 6812 6814 7467 8892 9956 10218 10221 13628 14934 15327 20436 20442 22401 29868 30654 30663 32357 40884 44291 44802 61308 61326 64714 64733 88582 89604 97071 122652 129428 129466 132873 177164 194142 194199 258932 265746 291213 388284 388398 398619 446317 531492 582426 582597 776796 797238 841529 892634 1164852 1165194 1338951 1594476 1683058 1785268 2330388 2524587 2677902 3366116 4016853 5049174 5355804 5802121 7573761 8033706 8480023 10098348 11604242 15147522 16067412 16960046 17406363 23208484 25440069 30295044 33920092 34812726 50880138 52219089 69625452 76320207 101760276 104438178 110240299 152640414 208876356 220480598 305280828 330720897 440961196 661441794 992162691 1322883588 1984325382 3968650764