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198197792 = 2513267547
BaseRepresentation
bin10111101000001…
…00001000100000
3111210221111020222
423310010020200
5401214312132
631400022212
74624440062
oct1364041040
9453844228
10198197792
11a1971a31
1256461968
13320a5c00
141c473732
1512600412
hexbd04220

198197792 has 72 divisors (see below), whose sum is σ = 429616656. Its totient is φ = 89945856.

The previous prime is 198197711. The next prime is 198197801. The reversal of 198197792 is 297791891.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 362063 + ... + 362609.

It is an arithmetic number, because the mean of its divisors is an integer number (5966898).

Almost surely, 2198197792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198197792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214808328).

198197792 is an abundant number, since it is smaller than the sum of its proper divisors (231418864).

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

198197792 is a wasteful number, since it uses less digits than its factorization.

198197792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 629 counting only the distinct ones).

The product of its digits is 571536, while the sum is 53.

The square root of 198197792 is about 14078.2737578156. The cubic root of 198197792 is about 583.0416821974.

The spelling of 198197792 in words is "one hundred ninety-eight million, one hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 67 104 134 169 208 268 338 416 536 547 676 871 1072 1094 1352 1742 2144 2188 2704 3484 4376 5408 6968 7111 8752 11323 13936 14222 17504 22646 27872 28444 36649 45292 56888 73298 90584 92443 113776 146596 181168 184886 227552 293192 362336 369772 476437 586384 739544 952874 1172768 1479088 1905748 2958176 3811496 6193681 7622992 12387362 15245984 24774724 49549448 99098896 198197792