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9902313 = 3217611061
BaseRepresentation
bin100101110001…
…100011101001
3200122002102100
4211301203221
510013333223
6552124013
7150111501
oct45614351
920562370
109902313
115653833
123396609
132089275
14145aa01
15d09043
hex9718e9

9902313 has 24 divisors (see below), whose sum is σ = 15407496. Its totient is φ = 6105600.

The previous prime is 9902293. The next prime is 9902327. The reversal of 9902313 is 3132099.

9902313 is nontrivially palindromic in base 2.

9902313 is digitally balanced in base 2, 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 4 ways, for example, as 974169 + 8928144 = 987^2 + 2988^2 .

It is not a de Polignac number, because 9902313 - 25 = 9902281 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9902353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8803 + ... + 9863.

It is an arithmetic number, because the mean of its divisors is an integer number (641979).

Almost surely, 29902313 is an apocalyptic number.

It is an amenable number.

9902313 is a deficient number, since it is larger than the sum of its proper divisors (5505183).

9902313 is a wasteful number, since it uses less digits than its factorization.

9902313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 9902313 is about 3146.7940828723. The cubic root of 9902313 is about 214.7396379602.

The spelling of 9902313 in words is "nine million, nine hundred two thousand, three hundred thirteen".

Divisors: 1 3 9 17 51 61 153 183 549 1037 1061 3111 3183 9333 9549 18037 54111 64721 162333 194163 582489 1100257 3300771 9902313