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99328 = 21097
BaseRepresentation
bin11000010000000000
312001020211
4120100000
511134303
62043504
7562405
oct302000
9161224
1099328
1168699
1249594
1336298
14282ac
151e66d
hex18400

99328 has 22 divisors (see below), whose sum is σ = 200606. Its totient is φ = 49152.

The previous prime is 99317. The next prime is 99347. The reversal of 99328 is 82399.

It is a happy number.

99328 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 16384 = 288^2 + 128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 99328.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 976 + ... + 1072.

299328 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 99328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100303).

99328 is an abundant number, since it is smaller than the sum of its proper divisors (101278).

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

99328 is an equidigital number, since it uses as much as digits as its factorization.

99328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its digits is 3888, while the sum is 31.

The square root of 99328 is about 315.1634496575. The cubic root of 99328 is about 46.3116829765.

The spelling of 99328 in words is "ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1024 1552 3104 6208 12416 24832 49664 99328