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998946 = 233131423
BaseRepresentation
bin11110011111000100010
31212202022000
43303320202
5223431241
633224430
711330244
oct3637042
91782260
10998946
11622583
12402116
1328c8c0
141c0094
1514aeb6
hexf3e22

998946 has 32 divisors (see below), whose sum is σ = 2392320. Its totient is φ = 307152.

The previous prime is 998941. The next prime is 998947. The reversal of 998946 is 649899.

It is a super-2 number, since 2×9989462 = 1995786221832, which contains 22 as substring.

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

998946 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 10 + ... + 1413.

It is an arithmetic number, because the mean of its divisors is an integer number (74760).

2998946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196160).

998946 is an abundant number, since it is smaller than the sum of its proper divisors (1393374).

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

998946 is a wasteful number, since it uses less digits than its factorization.

998946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1441 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 998946 is about 999.4728610623. The cubic root of 998946 is about 99.9648543159.

Adding to 998946 its sum of digits (45), we get a triangular number (998991 = T1413).

It can be divided in two parts, 99 and 8946, that added together give a triangular number (9045 = T134).

The spelling of 998946 in words is "nine hundred ninety-eight thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1423 2846 4269 8538 12807 18499 25614 36998 38421 55497 76842 110994 166491 332982 499473 998946