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9986208 = 2531729211
BaseRepresentation
bin100110000110…
…000010100000
3200210100111120
4212012002200
510024024313
6554012240
7150611211
oct46060240
920710446
109986208
115700871
123417080
1320b84cb
14147d408
15d23d23
hex9860a0

9986208 has 96 divisors (see below), whose sum is σ = 28848960. Its totient is φ = 3010560.

The previous prime is 9986183. The next prime is 9986213. The reversal of 9986208 is 8026899.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 9986208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47223 + ... + 47433.

It is an arithmetic number, because the mean of its divisors is an integer number (300510).

Almost surely, 29986208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9986208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14424480).

9986208 is an abundant number, since it is smaller than the sum of its proper divisors (18862752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9986208 is a wasteful number, since it uses less digits than its factorization.

9986208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 9986208 is about 3160.0962010673. The cubic root of 9986208 is about 215.3443768891.

The spelling of 9986208 in words is "nine million, nine hundred eighty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 68 87 96 102 116 136 174 204 211 232 272 348 408 422 464 493 544 633 696 816 844 928 986 1266 1392 1479 1632 1688 1972 2532 2784 2958 3376 3587 3944 5064 5916 6119 6752 7174 7888 10128 10761 11832 12238 14348 15776 18357 20256 21522 23664 24476 28696 36714 43044 47328 48952 57392 73428 86088 97904 104023 114784 146856 172176 195808 208046 293712 312069 344352 416092 587424 624138 832184 1248276 1664368 2496552 3328736 4993104 9986208