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998816 = 257413
BaseRepresentation
bin11110011110110100000
31212202010012
43303312200
5223430231
633224052
711330000
oct3636640
91782105
10998816
11622475
12402028
1328c820
141c0000
1514ae2b
hexf3da0

998816 has 60 divisors (see below), whose sum is σ = 2470482. Its totient is φ = 395136.

The previous prime is 998813. The next prime is 998819. The reversal of 998816 is 618899.

It is an interprime number because it is at equal distance from previous prime (998813) and next prime (998819).

It can be written as a sum of positive squares in only one way, i.e., 960400 + 38416 = 980^2 + 196^2 .

It is a zygodrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 998816.

It is not an unprimeable number, because it can be changed into a prime (998813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76826 + ... + 76838.

2998816 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 998816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235241).

998816 is an abundant number, since it is smaller than the sum of its proper divisors (1471666).

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

998816 is an equidigital number, since it uses as much as digits as its factorization.

998816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 22 counting only the distinct ones).

The product of its digits is 31104, while the sum is 41.

The square root of 998816 is about 999.4078246642. The cubic root of 998816 is about 99.9605177469.

The spelling of 998816 in words is "nine hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 343 364 392 416 637 686 728 784 1274 1372 1456 1568 2401 2548 2744 2912 4459 4802 5096 5488 8918 9604 10192 10976 17836 19208 20384 31213 35672 38416 62426 71344 76832 124852 142688 249704 499408 998816