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9884961 = 321378017
BaseRepresentation
bin100101101101…
…010100100001
3200121012121200
4211231110201
510012304321
6551511413
7150010062
oct45552441
920535550
109884961
115641799
123388569
1320813b8
141454569
15d03d26
hex96d521

9884961 has 12 divisors (see below), whose sum is σ = 14384292. Its totient is φ = 6541056.

The previous prime is 9884951. The next prime is 9884983. The reversal of 9884961 is 1694889.

9884961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5760000 + 4124961 = 2400^2 + 2031^2 .

It is not a de Polignac number, because 9884961 - 25 = 9884929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9884951) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2776 + ... + 5241.

It is an arithmetic number, because the mean of its divisors is an integer number (1198691).

Almost surely, 29884961 is an apocalyptic number.

It is an amenable number.

9884961 is a deficient number, since it is larger than the sum of its proper divisors (4499331).

9884961 is a wasteful number, since it uses less digits than its factorization.

9884961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8160 (or 8157 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 9884961 is about 3144.0357822391. The cubic root of 9884961 is about 214.6141339225.

The spelling of 9884961 in words is "nine million, eight hundred eighty-four thousand, nine hundred sixty-one".

Divisors: 1 3 9 137 411 1233 8017 24051 72153 1098329 3294987 9884961