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99296 = 2529107
BaseRepresentation
bin11000001111100000
312001012122
4120033200
511134141
62043412
7562331
oct301740
9161178
1099296
116866a
1249568
1336272
1428288
151e64b
hex183e0

99296 has 24 divisors (see below), whose sum is σ = 204120. Its totient is φ = 47488.

The previous prime is 99289. The next prime is 99317. The reversal of 99296 is 69299.

It is a zygodrome in base 2.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 875 + ... + 981.

It is an arithmetic number, because the mean of its divisors is an integer number (8505).

299296 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 99296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102060).

99296 is an abundant number, since it is smaller than the sum of its proper divisors (104824).

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

99296 is a wasteful number, since it uses less digits than its factorization.

99296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its digits is 8748, while the sum is 35.

The square root of 99296 is about 315.1126782597. The cubic root of 99296 is about 46.3067091087.

The spelling of 99296 in words is "ninety-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 107 116 214 232 428 464 856 928 1712 3103 3424 6206 12412 24824 49648 99296