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198744 = 23372132
BaseRepresentation
bin110000100001011000
3101002121220
4300201120
522324434
64132040
71455300
oct604130
9332556
10198744
11126357
1297020
136c600
1452600
153dd49
hex30858

198744 has 72 divisors (see below), whose sum is σ = 625860. Its totient is φ = 52416.

The previous prime is 198733. The next prime is 198761. The reversal of 198744 is 447891.

198744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15282 + ... + 15294.

2198744 is an apocalyptic number.

198744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312930).

198744 is an abundant number, since it is smaller than the sum of its proper divisors (427116).

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

198744 is a wasteful number, since it uses less digits than its factorization.

198744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 25 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 198744 is about 445.8071331865. The cubic root of 198744 is about 58.3576787269.

The spelling of 198744 in words is "one hundred ninety-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 169 182 196 273 294 312 338 364 392 507 546 588 637 676 728 1014 1092 1176 1183 1274 1352 1911 2028 2184 2366 2548 3549 3822 4056 4732 5096 7098 7644 8281 9464 14196 15288 16562 24843 28392 33124 49686 66248 99372 198744