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9984285 = 325221873
BaseRepresentation
bin100110000101…
…100100011101
3200210020212100
4212011210131
510023444120
6553555313
7150602463
oct46054435
920706770
109984285
1156aa383
123415b39
1320b767c
14147c833
15d23490
hex98591d

9984285 has 12 divisors (see below), whose sum is σ = 17306172. Its totient is φ = 5324928.

The previous prime is 9984251. The next prime is 9984301. The reversal of 9984285 is 5824899.

It can be written as a sum of positive squares in 2 ways, for example, as 1375929 + 8608356 = 1173^2 + 2934^2 .

It is not a de Polignac number, because 9984285 - 29 = 9983773 is a prime.

It is a super-2 number, since 2×99842852 = 199371893922450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 221873 = 9984285 / (9 + 9 + 8 + 4 + 2 + 8 + 5).

9984285 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 9984285.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 110892 + ... + 110981.

It is an arithmetic number, because the mean of its divisors is an integer number (1442181).

Almost surely, 29984285 is an apocalyptic number.

It is an amenable number.

9984285 is a deficient number, since it is larger than the sum of its proper divisors (7321887).

9984285 is a wasteful number, since it uses less digits than its factorization.

9984285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221884 (or 221881 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 9984285 is about 3159.7919235291. The cubic root of 9984285 is about 215.3305533630.

The spelling of 9984285 in words is "nine million, nine hundred eighty-four thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 45 221873 665619 1109365 1996857 3328095 9984285