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395795568 = 2437101107109
BaseRepresentation
bin10111100101110…
…101110001110000
31000120202111110010
4113211311301300
51302310424233
6103135134520
712544130640
oct2745656160
91016674403
10395795568
11193464083
12b0674440
1363ccb97c
143a7cc520
1524b32b63
hex17975c70

395795568 has 160 divisors (see below), whose sum is σ = 1202065920. Its totient is φ = 109900800.

The previous prime is 395795551. The next prime is 395795579. The reversal of 395795568 is 865597593.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3631098 + ... + 3631206.

It is an arithmetic number, because the mean of its divisors is an integer number (7512912).

Almost surely, 2395795568 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 395795568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601032960).

395795568 is an abundant number, since it is smaller than the sum of its proper divisors (806270352).

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

395795568 is a wasteful number, since it uses less digits than its factorization.

395795568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its digits is 10206000, while the sum is 57.

The square root of 395795568 is about 19894.6115317691. The cubic root of 395795568 is about 734.2156582808.

The spelling of 395795568 in words is "three hundred ninety-five million, seven hundred ninety-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 107 109 112 168 202 214 218 303 321 327 336 404 428 436 606 642 654 707 749 763 808 856 872 1212 1284 1308 1414 1498 1526 1616 1712 1744 2121 2247 2289 2424 2568 2616 2828 2996 3052 4242 4494 4578 4848 5136 5232 5656 5992 6104 8484 8988 9156 10807 11009 11312 11663 11984 12208 16968 17976 18312 21614 22018 23326 32421 33027 33936 34989 35952 36624 43228 44036 46652 64842 66054 69978 75649 77063 81641 86456 88072 93304 129684 132108 139956 151298 154126 163282 172912 176144 186608 226947 231189 244923 259368 264216 279912 302596 308252 326564 453894 462378 489846 518736 528432 559824 605192 616504 653128 907788 924756 979692 1177963 1210384 1233008 1306256 1815576 1849512 1959384 2355926 3533889 3631152 3699024 3918768 4711852 7067778 8245741 9423704 14135556 16491482 18847408 24737223 28271112 32982964 49474446 56542224 65965928 98948892 131931856 197897784 395795568