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198984768 = 2632514129
BaseRepresentation
bin10111101110001…
…00010001000000
3111212102110210020
423313010101000
5401420003033
631424533440
74634225343
oct1367042100
9455373706
10198984768
11a235a224
1256781280
13322c0188
141c5da45a
15127086b3
hexbdc4440

198984768 has 56 divisors (see below), whose sum is σ = 528706080. Its totient is φ = 66048000.

The previous prime is 198984749. The next prime is 198984817. The reversal of 198984768 is 867489891.

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 7 ways as a sum of consecutive naturals, for example, 46128 + ... + 50256.

It is an arithmetic number, because the mean of its divisors is an integer number (9441180).

Almost surely, 2198984768 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 198984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264353040).

198984768 is an abundant number, since it is smaller than the sum of its proper divisors (329721312).

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

198984768 is a wasteful number, since it uses less digits than its factorization.

198984768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4385 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 60.

The square root of 198984768 is about 14106.1960854087. The cubic root of 198984768 is about 583.8123497941.

The spelling of 198984768 in words is "one hundred ninety-eight million, nine hundred eighty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 251 502 753 1004 1506 2008 3012 4016 4129 6024 8032 8258 12048 12387 16064 16516 24096 24774 33032 48192 49548 66064 99096 132128 198192 264256 396384 792768 1036379 2072758 3109137 4145516 6218274 8291032 12436548 16582064 24873096 33164128 49746192 66328256 99492384 198984768