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998496 = 25323467
BaseRepresentation
bin11110011110001100000
31212201200100
43303301200
5223422441
633222400
711326032
oct3636140
91781610
10998496
11622204
12401a00
1328c635
141bdc52
1514acb6
hexf3c60

998496 has 36 divisors (see below), whose sum is σ = 2840292. Its totient is φ = 332736.

The previous prime is 998471. The next prime is 998497. The reversal of 998496 is 694899.

998496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 998496.

It is not an unprimeable number, because it can be changed into a prime (998497) by changing a digit.

998496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1446 + ... + 2021.

It is an arithmetic number, because the mean of its divisors is an integer number (78897).

2998496 is an apocalyptic number.

998496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

998496 is an abundant number, since it is smaller than the sum of its proper divisors (1841796).

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

998496 is a wasteful number, since it uses less digits than its factorization.

998496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3472 counting only the distinct ones).

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

The square root of 998496 is about 999.2477170352. The cubic root of 998496 is about 99.9498415121.

The spelling of 998496 in words is "nine hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3467 6934 10401 13868 20802 27736 31203 41604 55472 62406 83208 110944 124812 166416 249624 332832 499248 998496