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9892989 = 331312797
BaseRepresentation
bin100101101111…
…010001111101
3200121121122000
4211233101331
510013033424
6552012513
7150042351
oct45572175
920547560
109892989
115647827
123391139
132084c52
141457461
15d063c9
hex96f47d

9892989 has 16 divisors (see below), whose sum is σ = 14773440. Its totient is φ = 6542640.

The previous prime is 9892957. The next prime is 9893003.

9892989 is nontrivially palindromic in base 10.

9892989 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9892989 - 25 = 9892957 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

9892989 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9892789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2139 + ... + 4935.

It is an arithmetic number, because the mean of its divisors is an integer number (923340).

Almost surely, 29892989 is an apocalyptic number.

It is an amenable number.

9892989 is a deficient number, since it is larger than the sum of its proper divisors (4880451).

9892989 is a wasteful number, since it uses less digits than its factorization.

9892989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2931 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The square root of 9892989 is about 3145.3122261550. The cubic root of 9892989 is about 214.6722173099.

The spelling of 9892989 in words is "nine million, eight hundred ninety-two thousand, nine hundred eighty-nine".

Divisors: 1 3 9 27 131 393 1179 2797 3537 8391 25173 75519 366407 1099221 3297663 9892989