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198009856 = 2101117579
BaseRepresentation
bin10111100110101…
…10010000000000
3111210120221110101
423303112100000
5401142303411
631352012144
74623025132
oct1363262000
9453527411
10198009856
11a1853810
1256391054
133203b4c5
141c425052
15125b48c1
hexbcd6400

198009856 has 44 divisors (see below), whose sum is σ = 431835120. Its totient is φ = 89999360.

The previous prime is 198009853. The next prime is 198009859. The reversal of 198009856 is 658900891.

It is an interprime number because it is at equal distance from previous prime (198009853) and next prime (198009859).

It is a tau number, because it is divible by the number of its divisors (44).

It is not an unprimeable number, because it can be changed into a prime (198009853) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2475 + ... + 20053.

Almost surely, 2198009856 is an apocalyptic number.

198009856 is a gapful number since it is divisible by the number (16) 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 198009856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215917560).

198009856 is an abundant number, since it is smaller than the sum of its proper divisors (233825264).

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

198009856 is a wasteful number, since it uses less digits than its factorization.

198009856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17610 (or 17592 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The square root of 198009856 is about 14071.5974928222. The cubic root of 198009856 is about 582.8573391186.

The spelling of 198009856 in words is "one hundred ninety-eight million, nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 5632 11264 17579 35158 70316 140632 193369 281264 386738 562528 773476 1125056 1546952 2250112 3093904 4500224 6187808 9000448 12375616 18000896 24751232 49502464 99004928 198009856