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98864 = 2437167
BaseRepresentation
bin11000001000110000
312000121122
4120020300
511130424
62041412
7561143
oct301060
9160548
1098864
1168307
1249268
1335ccc
142805a
151e45e
hex18230

98864 has 20 divisors (see below), whose sum is σ = 197904. Its totient is φ = 47808.

The previous prime is 98849. The next prime is 98867. The reversal of 98864 is 46889.

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98864.

It is not an unprimeable number, because it can be changed into a prime (98867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 509 + ... + 675.

298864 is an apocalyptic number.

It is an amenable number.

98864 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98952).

98864 is a wasteful number, since it uses less digits than its factorization.

98864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 98864 is about 314.4264619907. The cubic root of 98864 is about 46.2394570563.

The spelling of 98864 in words is "ninety-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 37 74 148 167 296 334 592 668 1336 2672 6179 12358 24716 49432 98864