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968000896 = 2744916843
BaseRepresentation
bin111001101100101…
…000010110000000
32111110110112121001
4321230220112000
53440302012041
6240015341344
732662605022
oct7154502600
92443415531
10968000896
11457458445
12230221854
131257152c5
14927bc012
1559eb0131
hex39b28580

968000896 has 32 divisors (see below), whose sum is σ = 1932849000. Its totient is φ = 482893824.

The previous prime is 968000843. The next prime is 968000899. The reversal of 968000896 is 698000869.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

968000896 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968000899) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49051 + ... + 65893.

Almost surely, 2968000896 is an apocalyptic number.

It is an amenable number.

968000896 is a deficient number, since it is larger than the sum of its proper divisors (964848104).

968000896 is a wasteful number, since it uses less digits than its factorization.

968000896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17306 (or 17294 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 968000896 is about 31112.7127714701. The cubic root of 968000896 is about 989.2177938628.

The spelling of 968000896 in words is "nine hundred sixty-eight million, eight hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 128 449 898 1796 3592 7184 14368 16843 28736 33686 57472 67372 134744 269488 538976 1077952 2155904 7562507 15125014 30250028 60500056 121000112 242000224 484000448 968000896