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998928 = 24327991
BaseRepresentation
bin11110011111000010000
31212202021100
43303320100
5223431203
633224400
711330220
oct3637020
91782240
10998928
11622567
12402100
1328c8a8
141c0080
1514aea3
hexf3e10

998928 has 60 divisors (see below), whose sum is σ = 3198208. Its totient is φ = 285120.

The previous prime is 998927. The next prime is 998941. The reversal of 998928 is 829899.

998928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (998927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 513 + ... + 1503.

2998928 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 998928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599104).

998928 is an abundant number, since it is smaller than the sum of its proper divisors (2199280).

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

998928 is a wasteful number, since it uses less digits than its factorization.

998928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1003 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 998928 is about 999.4638562750. The cubic root of 998928 is about 99.9642538903.

The spelling of 998928 in words is "nine hundred ninety-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 991 1008 1982 2973 3964 5946 6937 7928 8919 11892 13874 15856 17838 20811 23784 27748 35676 41622 47568 55496 62433 71352 83244 110992 124866 142704 166488 249732 332976 499464 998928