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198950856 = 233132181271
BaseRepresentation
bin10111101101110…
…11111111001000
3111212100202021020
423312323333020
5401412411411
631424112440
74634024436
oct1366737710
9455322236
10198950856
11a23367a5
1256765720
13322aa900
141c5cbd56
15126ed606
hexbdbbfc8

198950856 has 96 divisors (see below), whose sum is σ = 543553920. Its totient is φ = 60652800.

The previous prime is 198950827. The next prime is 198950861. The reversal of 198950856 is 658059891.

198950856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 198950799 and 198950808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 734001 + ... + 734271.

It is an arithmetic number, because the mean of its divisors is an integer number (5662020).

Almost surely, 2198950856 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 198950856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271776960).

198950856 is an abundant number, since it is smaller than the sum of its proper divisors (344603064).

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

198950856 is a wasteful number, since it uses less digits than its factorization.

198950856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 51.

The square root of 198950856 is about 14104.9940092153. The cubic root of 198950856 is about 583.7791824828.

The spelling of 198950856 in words is "one hundred ninety-eight million, nine hundred fifty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 181 271 312 338 362 507 542 543 676 724 813 1014 1084 1086 1352 1448 1626 2028 2168 2172 2353 3252 3523 4056 4344 4706 6504 7046 7059 9412 10569 14092 14118 18824 21138 28184 28236 30589 42276 45799 49051 56472 61178 84552 91598 91767 98102 122356 137397 147153 183196 183534 196204 244712 274794 294306 366392 367068 392408 549588 588612 637663 734136 1099176 1177224 1275326 1912989 2550652 3825978 5101304 7651956 8289619 15303912 16579238 24868857 33158476 49737714 66316952 99475428 198950856