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99944 = 2313312
BaseRepresentation
bin11000011001101000
312002002122
4120121220
511144234
62050412
7564245
oct303150
9162078
1099944
11690a9
1249a08
1336650
14285cc
151e92e
hex18668

99944 has 24 divisors (see below), whose sum is σ = 208530. Its totient is φ = 44640.

The previous prime is 99929. The next prime is 99961. The reversal of 99944 is 44999.

99944 = T79 + T80 + ... + T102.

It can be written as a sum of positive squares in only one way, i.e., 96100 + 3844 = 310^2 + 62^2 .

Its product of digits (11664) is a multiple of the sum of its prime factors (81).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 99944.

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 5 ways as a sum of consecutive naturals, for example, 3209 + ... + 3239.

299944 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 99944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104265).

99944 is an abundant number, since it is smaller than the sum of its proper divisors (108586).

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

99944 is a wasteful number, since it uses less digits than its factorization.

99944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 46 counting only the distinct ones).

The product of its digits is 11664, while the sum is 35.

The square root of 99944 is about 316.1392098428. The cubic root of 99944 is about 46.4072224191.

Subtracting from 99944 its reverse (44999), we obtain a palindrome (54945).

It can be divided in two parts, 999 and 44, that multiplied together give a triangular number (43956 = T296).

The spelling of 99944 in words is "ninety-nine thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 961 1612 1922 3224 3844 7688 12493 24986 49972 99944