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9728856 = 233373617
BaseRepresentation
bin100101000111…
…001101011000
3200022021111000
4211013031120
54442310411
6544305000
7145460004
oct45071530
920267430
109728856
115545485
123312160
132028327
141413704
15cc2956
hex947358

9728856 has 64 divisors (see below), whose sum is σ = 27439200. Its totient is φ = 3193344.

The previous prime is 9728843. The next prime is 9728861. The reversal of 9728856 is 6588279.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 15460 + ... + 16076.

Almost surely, 29728856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9728856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13719600).

9728856 is an abundant number, since it is smaller than the sum of its proper divisors (17710344).

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

9728856 is a wasteful number, since it uses less digits than its factorization.

9728856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 695 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 9728856 is about 3119.1114119249. Note that the first 3 decimals coincide. The cubic root of 9728856 is about 213.4783930952.

It can be divided in two parts, 97288 and 56, that added together give a square (97344 = 3122).

The spelling of 9728856 in words is "nine million, seven hundred twenty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 617 657 876 1234 1314 1752 1851 1971 2468 2628 3702 3942 4936 5256 5553 7404 7884 11106 14808 15768 16659 22212 33318 44424 45041 66636 90082 133272 135123 180164 270246 360328 405369 540492 810738 1080984 1216107 1621476 2432214 3242952 4864428 9728856