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198052992 = 2733173371
BaseRepresentation
bin10111100111000…
…00110010000000
3111210200010122000
423303200302000
5401200143432
631352544000
74623264654
oct1363406200
9453603560
10198052992
11a1883165
12563b2000
1332055027
141c436a64
15125c257c
hexbce0c80

198052992 has 128 divisors (see below), whose sum is σ = 619099200. Its totient is φ = 62115840.

The previous prime is 198052973. The next prime is 198053039. The reversal of 198052992 is 299250891.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable 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, 57067 + ... + 60437.

Almost surely, 2198052992 is an apocalyptic number.

198052992 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 198052992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309549600).

198052992 is an abundant number, since it is smaller than the sum of its proper divisors (421046208).

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

198052992 is a wasteful number, since it uses less digits than its factorization.

198052992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 198052992 is about 14073.1301422249. The cubic root of 198052992 is about 582.8996607639.

The spelling of 198052992 in words is "one hundred ninety-eight million, fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3371 3456 3672 4896 6528 6742 7344 9792 10113 13484 14688 19584 20226 26968 29376 30339 40452 53936 57307 58752 60678 80904 91017 107872 114614 121356 161808 171921 182034 215744 229228 242712 323616 343842 364068 431488 458456 485424 515763 647232 687684 728136 916912 970848 1031526 1294464 1375368 1456272 1547289 1833824 1941696 2063052 2750736 2912544 3094578 3667648 3883392 4126104 5501472 5825088 6189156 7335296 8252208 11002944 11650176 12378312 16504416 22005888 24756624 33008832 49513248 66017664 99026496 198052992