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998944 = 25193153
BaseRepresentation
bin11110011111000100000
31212202021221
43303320200
5223431234
633224424
711330242
oct3637040
91782257
10998944
11622581
12402114
1328c8bb
141c0092
1514aeb4
hexf3e20

998944 has 48 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 449280.

The previous prime is 998941. The next prime is 998947. The reversal of 998944 is 449899.

998944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (998941) and next prime (998947).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 998944.

It is not an unprimeable number, because it can be changed into a prime (998941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18822 + ... + 18874.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

2998944 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 998944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

998944 is an abundant number, since it is smaller than the sum of its proper divisors (1178336).

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

998944 is a wasteful number, since it uses less digits than its factorization.

998944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its digits is 93312, while the sum is 43.

The square root of 998944 is about 999.4718605344. The cubic root of 998944 is about 99.9647876023.

The spelling of 998944 in words is "nine hundred ninety-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 19 31 32 38 53 62 76 106 124 152 212 248 304 424 496 589 608 848 992 1007 1178 1643 1696 2014 2356 3286 4028 4712 6572 8056 9424 13144 16112 18848 26288 31217 32224 52576 62434 124868 249736 499472 998944