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198828432 = 2435114649
BaseRepresentation
bin10111101100111…
…10000110010000
3111212010112100000
423312132012100
5401400002212
631421330000
74633004505
oct1366360620
9455115300
10198828432
11a2262820
1256706900
1332266c7a
141c5994ac
15126c71dc
hexbd9e190

198828432 has 120 divisors (see below), whose sum is σ = 629647200. Its totient is φ = 60238080.

The previous prime is 198828349. The next prime is 198828473. The reversal of 198828432 is 234828891.

198828432 is a `hidden beast` number, since 198 + 8 + 28 + 432 = 666.

198828432 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40444 + ... + 45092.

It is an arithmetic number, because the mean of its divisors is an integer number (5247060).

Almost surely, 2198828432 is an apocalyptic number.

198828432 is a gapful number since it is divisible by the number (12) 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 198828432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314823600).

198828432 is an abundant number, since it is smaller than the sum of its proper divisors (430818768).

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

198828432 is a wasteful number, since it uses less digits than its factorization.

198828432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683 (or 4665 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 198828432 is about 14100.6536018725. The cubic root of 198828432 is about 583.6594154736.

The spelling of 198828432 in words is "one hundred ninety-eight million, eight hundred twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 792 891 972 1188 1296 1584 1782 1944 2376 2673 3564 3888 4649 4752 5346 7128 9298 10692 13947 14256 18596 21384 27894 37192 41841 42768 51139 55788 74384 83682 102278 111576 125523 153417 167364 204556 223152 251046 306834 334728 376569 409112 460251 502092 613668 669456 753138 818224 920502 1004184 1129707 1227336 1380753 1506276 1841004 2008368 2259414 2454672 2761506 3012552 3682008 4142259 4518828 5523012 6025104 7364016 8284518 9037656 11046024 12426777 16569036 18075312 22092048 24853554 33138072 49707108 66276144 99414216 198828432