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968001296 = 24233259657
BaseRepresentation
bin111001101100101…
…000011100010000
32111110110120010212
4321230220130100
53440302020141
6240015343252
732662606133
oct7154503420
92443416125
10968001296
11457458779
12230221b28
13125715542
14927bc21a
1559eb02eb
hex39b28710

968001296 has 20 divisors (see below), whose sum is σ = 1883559132. Its totient is φ = 481921536.

The previous prime is 968001283. The next prime is 968001373. The reversal of 968001296 is 692100869.

It can be written as a sum of positive squares in 2 ways, for example, as 660490000 + 307511296 = 25700^2 + 17536^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126101 + ... + 133556.

Almost surely, 2968001296 is an apocalyptic number.

It is an amenable number.

968001296 is a deficient number, since it is larger than the sum of its proper divisors (915557836).

968001296 is a wasteful number, since it uses less digits than its factorization.

968001296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259898 (or 259892 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 968001296 is about 31112.7191997099. The cubic root of 968001296 is about 989.2179301185.

The spelling of 968001296 in words is "nine hundred sixty-eight million, one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 233 466 932 1864 3728 259657 519314 1038628 2077256 4154512 60500081 121000162 242000324 484000648 968001296