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9728656 = 247212409
BaseRepresentation
bin100101000111…
…001010010000
3200022021012121
4211013022100
54442304111
6544304024
7145456300
oct45071220
920267177
109728656
115545313
123312014
132028202
141413600
15cc2871
hex947290

9728656 has 30 divisors (see below), whose sum is σ = 21928470. Its totient is φ = 4169088.

The previous prime is 9728651. The next prime is 9728681. The reversal of 9728656 is 6568279.

9728656 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 5664400 + 4064256 = 2380^2 + 2016^2 .

It is not an unprimeable number, because it can be changed into a prime (9728651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5421 + ... + 6988.

It is an arithmetic number, because the mean of its divisors is an integer number (730949).

Almost surely, 29728656 is an apocalyptic number.

It is an amenable number.

9728656 is an abundant number, since it is smaller than the sum of its proper divisors (12199814).

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

9728656 is a wasteful number, since it uses less digits than its factorization.

9728656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12431 (or 12418 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The square root of 9728656 is about 3119.0793513471. The cubic root of 9728656 is about 213.4769302315.

The spelling of 9728656 in words is "nine million, seven hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 12409 24818 49636 86863 99272 173726 198544 347452 608041 694904 1216082 1389808 2432164 4864328 9728656