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9793968 = 2431910739
BaseRepresentation
bin100101010111…
…000110110000
3200102120210120
4211113012300
510001401333
6545530240
7146150562
oct45270660
920376716
109793968
11558a398
123343980
13204bb62
14142d332
15cd6db3
hex9571b0

9793968 has 40 divisors (see below), whose sum is σ = 26635200. Its totient is φ = 3092544.

The previous prime is 9793963. The next prime is 9793969. The reversal of 9793968 is 8693979.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 9793968.

It is not an unprimeable number, because it can be changed into a prime (9793963) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4458 + ... + 6281.

It is an arithmetic number, because the mean of its divisors is an integer number (665880).

Almost surely, 29793968 is an apocalyptic number.

It is an amenable number.

9793968 is an abundant number, since it is smaller than the sum of its proper divisors (16841232).

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

9793968 is a wasteful number, since it uses less digits than its factorization.

9793968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10769 (or 10763 counting only the distinct ones).

The product of its digits is 734832, while the sum is 51.

The square root of 9793968 is about 3129.5315943444. The cubic root of 9793968 is about 213.9535812209.

The spelling of 9793968 in words is "nine million, seven hundred ninety-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 10739 21478 32217 42956 64434 85912 128868 171824 204041 257736 408082 515472 612123 816164 1224246 1632328 2448492 3264656 4896984 9793968