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968638496 = 2574324279
BaseRepresentation
bin111001101111000…
…100000000100000
32111111122221012212
4321233010000200
53440432412441
6240041141252
733001201640
oct7157040040
92444587185
10968638496
11457853491
1223048a828
131258a9597
1492906520
155a088eeb
hex39bc4020

968638496 has 24 divisors (see below), whose sum is σ = 2179437120. Its totient is φ = 415130688.

The previous prime is 968638481. The next prime is 968638501. The reversal of 968638496 is 694836869.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2161916 + ... + 2162363.

It is an arithmetic number, because the mean of its divisors is an integer number (90809880).

Almost surely, 2968638496 is an apocalyptic number.

It is an amenable number.

968638496 is an abundant number, since it is smaller than the sum of its proper divisors (1210798624).

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

968638496 is a wasteful number, since it uses less digits than its factorization.

968638496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324296 (or 4324288 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 59.

The square root of 968638496 is about 31122.9577000644. The cubic root of 968638496 is about 989.4349378886.

The spelling of 968638496 in words is "nine hundred sixty-eight million, six hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 4324279 8648558 17297116 30269953 34594232 60539906 69188464 121079812 138376928 242159624 484319248 968638496