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968205456 = 243225932
BaseRepresentation
bin111001101101011…
…010010010010000
32111110211221012100
4321231122102100
53440330033311
6240024000400
732664416301
oct7155322220
92443757170
10968205456
114575880a9
12230300100
1312578744a
14928327a8
155a000a56
hex39b5a490

968205456 has 45 divisors (see below), whose sum is σ = 2710675929. Its totient is φ = 322610688.

The previous prime is 968205449. The next prime is 968205461. The reversal of 968205456 is 654502869.

The square root of 968205456 is 31116.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 584672400 + 383533056 = 24180^2 + 19584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 372096 + ... + 374688.

Almost surely, 2968205456 is an apocalyptic number.

968205456 is the 31116-th square number.

It is an amenable number.

968205456 is an abundant number, since it is smaller than the sum of its proper divisors (1742470473).

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

968205456 is an equidigital number, since it uses as much as digits as its factorization.

968205456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5200 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The cubic root of 968205456 is about 989.2874701549.

Multiplying 968205456 by its product of nonzero digits (518400), we get a square (501917708390400 = 224035202).

The spelling of 968205456 in words is "nine hundred sixty-eight million, two hundred five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2593 5186 7779 10372 15558 20744 23337 31116 41488 46674 62232 93348 124464 186696 373392 6723649 13447298 20170947 26894596 40341894 53789192 60512841 80683788 107578384 121025682 161367576 242051364 322735152 484102728 968205456