Search a number
-
+
198942856 = 23779193233
BaseRepresentation
bin10111101101110…
…10000010001000
3111212100100021221
423312322002020
5401412132411
631424011424
74633662220
oct1366720210
9455310257
10198942856
11a2330792
1256760b74
13322a7088
141c5c9080
15126eb071
hexbdba088

198942856 has 64 divisors (see below), whose sum is σ = 435801600. Its totient is φ = 83386368.

The previous prime is 198942803. The next prime is 198942859. The reversal of 198942856 is 658249891.

It is not an unprimeable number, because it can be changed into a prime (198942859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 853716 + ... + 853948.

It is an arithmetic number, because the mean of its divisors is an integer number (6809400).

Almost surely, 2198942856 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 198942856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217900800).

198942856 is an abundant number, since it is smaller than the sum of its proper divisors (236858744).

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

198942856 is a wasteful number, since it uses less digits than its factorization.

198942856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 514 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 52.

The square root of 198942856 is about 14104.7104188636. The cubic root of 198942856 is about 583.7713576090.

The spelling of 198942856 in words is "one hundred ninety-eight million, nine hundred forty-two thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 56 79 158 193 233 316 386 466 553 632 772 932 1106 1351 1544 1631 1864 2212 2702 3262 4424 5404 6524 10808 13048 15247 18407 30494 36814 44969 60988 73628 89938 106729 121976 128849 147256 179876 213458 257698 314783 359752 426916 515396 629566 853832 1030792 1259132 2518264 3552551 7105102 14210204 24867857 28420408 49735714 99471428 198942856