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9982935 = 3251631361
BaseRepresentation
bin100110000101…
…001111010111
3200210012000100
4212011033113
510023423220
6553545143
7150565524
oct46051727
920705010
109982935
1156a9366
1234151b3
1320b6b81
14147c14b
15d22d90
hex9853d7

9982935 has 24 divisors (see below), whose sum is σ = 17422704. Its totient is φ = 5287680.

The previous prime is 9982913. The next prime is 9982939. The reversal of 9982935 is 5392899.

It is not a de Polignac number, because 9982935 - 26 = 9982871 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a d-powerful number, because it can be written as 94 + 94 + 84 + 214 + 94 + 311 + 510 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9982939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6655 + ... + 8015.

It is an arithmetic number, because the mean of its divisors is an integer number (725946).

Almost surely, 29982935 is an apocalyptic number.

9982935 is a deficient number, since it is larger than the sum of its proper divisors (7439769).

9982935 is a wasteful number, since it uses less digits than its factorization.

9982935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1532 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 9982935 is about 3159.5782946463. The cubic root of 9982935 is about 215.3208477991.

The spelling of 9982935 in words is "nine million, nine hundred eighty-two thousand, nine hundred thirty-five".

Divisors: 1 3 5 9 15 45 163 489 815 1361 1467 2445 4083 6805 7335 12249 20415 61245 221843 665529 1109215 1996587 3327645 9982935