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9883328 = 267131697
BaseRepresentation
bin100101101100…
…111011000000
3200121010101012
4211230323000
510012231303
6551500052
7150002240
oct45547300
920533335
109883328
115640544
123387628
132080730
141453b20
15d035d8
hex96cec0

9883328 has 56 divisors (see below), whose sum is σ = 24152352. Its totient is φ = 3907584.

The previous prime is 9883309. The next prime is 9883333. The reversal of 9883328 is 8233889.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 4976 + ... + 6672.

It is an arithmetic number, because the mean of its divisors is an integer number (431292).

Almost surely, 29883328 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 9883328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12076176).

9883328 is an abundant number, since it is smaller than the sum of its proper divisors (14269024).

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

9883328 is a wasteful number, since it uses less digits than its factorization.

9883328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1719 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 9883328 is about 3143.7760734505. The cubic root of 9883328 is about 214.6023151546.

The spelling of 9883328 in words is "nine million, eight hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 1697 2912 3394 5824 6788 11879 13576 22061 23758 27152 44122 47516 54304 88244 95032 108608 154427 176488 190064 308854 352976 380128 617708 705952 760256 1235416 1411904 2470832 4941664 9883328