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968144288 = 25171779677
BaseRepresentation
bin111001101101001…
…011010110100000
32111110201211021212
4321231023112200
53440321104123
6240022405252
732664043046
oct7155132640
92443654255
10968144288
11457546151
12230290828
13125765657
1492818396
1559edc878
hex39b4b5a0

968144288 has 24 divisors (see below), whose sum is σ = 2018154852. Its totient is φ = 455597056.

The previous prime is 968144279. The next prime is 968144299. The reversal of 968144288 is 882441869.

968144288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 718883344 + 249260944 = 26812^2 + 15788^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 889295 + ... + 890382.

Almost surely, 2968144288 is an apocalyptic number.

It is an amenable number.

968144288 is an abundant number, since it is smaller than the sum of its proper divisors (1050010564).

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

968144288 is a wasteful number, since it uses less digits than its factorization.

968144288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779704 (or 1779696 counting only the distinct ones).

The product of its digits is 884736, while the sum is 50.

The square root of 968144288 is about 31115.0170817887. The cubic root of 968144288 is about 989.2666364190.

The spelling of 968144288 in words is "nine hundred sixty-eight million, one hundred forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 1779677 3559354 7118708 14237416 28474832 30254509 56949664 60509018 121018036 242036072 484072144 968144288