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9982016 = 261121289
BaseRepresentation
bin100110000101…
…000001000000
3200210010202022
4212011001000
510023411031
6553541012
7150563042
oct46050100
920703668
109982016
1156a8700
123414768
1320b6625
14147ba92
15d2297b
hex985040

9982016 has 42 divisors (see below), whose sum is σ = 21789390. Its totient is φ = 4533760.

The previous prime is 9981943. The next prime is 9982051. The reversal of 9982016 is 6102899.

It can be written as a sum of positive squares in only one way, i.e., 9486400 + 495616 = 3080^2 + 704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7100 + ... + 8388.

It is an arithmetic number, because the mean of its divisors is an integer number (518795).

Almost surely, 29982016 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 9982016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10894695).

9982016 is an abundant number, since it is smaller than the sum of its proper divisors (11807374).

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

9982016 is a wasteful number, since it uses less digits than its factorization.

9982016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 9982016 is about 3159.4328604989. The cubic root of 9982016 is about 215.3142403257.

The spelling of 9982016 in words is "nine million, nine hundred eighty-two thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1289 1936 2578 3872 5156 7744 10312 14179 20624 28358 41248 56716 82496 113432 155969 226864 311938 453728 623876 907456 1247752 2495504 4991008 9982016