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198432828 = 22351167277
BaseRepresentation
bin10111101001111…
…01100000111100
3111211101102200000
423310331200330
5401244322303
631405034300
74626436236
oct1364754074
9454342600
10198432828
11a2012580
1256555990
1332158b99
141c4d5256
1512649da3
hexbd3d83c

198432828 has 144 divisors (see below), whose sum is σ = 578008704. Its totient is φ = 59019840.

The previous prime is 198432821. The next prime is 198432853. The reversal of 198432828 is 828234891.

198432828 is a `hidden beast` number, since 198 + 432 + 8 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198432821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 716226 + ... + 716502.

Almost surely, 2198432828 is an apocalyptic number.

198432828 is a gapful number since it is divisible by the number (18) 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 198432828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289004352).

198432828 is an abundant number, since it is smaller than the sum of its proper divisors (379575876).

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

198432828 is a wasteful number, since it uses less digits than its factorization.

198432828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

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

The square root of 198432828 is about 14086.6187568202. The cubic root of 198432828 is about 583.2720609021.

The spelling of 198432828 in words is "one hundred ninety-eight million, four hundred thirty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 67 81 99 108 132 134 162 198 201 243 268 277 297 324 396 402 486 554 594 603 737 804 831 891 972 1108 1188 1206 1474 1662 1782 1809 2211 2412 2493 2673 2948 3047 3324 3564 3618 4422 4986 5346 5427 6094 6633 7236 7479 8844 9141 9972 10692 10854 12188 13266 14958 16281 18282 18559 19899 21708 22437 26532 27423 29916 32562 36564 37118 39798 44874 54846 55677 59697 65124 67311 74236 79596 82269 89748 109692 111354 119394 134622 164538 167031 179091 204149 222708 238788 246807 269244 329076 334062 358182 408298 493614 501093 612447 668124 716364 740421 816596 987228 1002186 1224894 1480842 1503279 1837341 2004372 2449788 2961684 3006558 3674682 4509837 5512023 6013116 7349364 9019674 11024046 16536069 18039348 22048092 33072138 49608207 66144276 99216414 198432828