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395947968 = 26313158633
BaseRepresentation
bin10111100110011…
…010111111000000
31000121001020111120
4113212122333000
51302330313333
6103142312240
712545334153
oct2746327700
91017036446
10395947968
11193558629
12b0728680
1364053150
143a82bc9a
1524b62db3
hex1799afc0

395947968 has 56 divisors (see below), whose sum is σ = 1128205008. Its totient is φ = 121829376.

The previous prime is 395947961. The next prime is 395948009. The reversal of 395947968 is 869749593.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395947961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76821 + ... + 81812.

It is an arithmetic number, because the mean of its divisors is an integer number (20146518).

Almost surely, 2395947968 is an apocalyptic number.

It is an amenable number.

395947968 is an abundant number, since it is smaller than the sum of its proper divisors (732257040).

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

395947968 is a wasteful number, since it uses less digits than its factorization.

395947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158661 (or 158651 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 60.

The square root of 395947968 is about 19898.4413459949. The cubic root of 395947968 is about 734.3098820981.

The spelling of 395947968 in words is "three hundred ninety-five million, nine hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 158633 317266 475899 634532 951798 1269064 1903596 2062229 2538128 3807192 4124458 5076256 6186687 7614384 8248916 10152512 12373374 15228768 16497832 24746748 30457536 32995664 49493496 65991328 98986992 131982656 197973984 395947968