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198809856 = 283372587
BaseRepresentation
bin10111101100110…
…01100100000000
3111212002120212000
423312121210000
5401343403411
631421104000
74632566400
oct1366314400
9455076760
10198809856
11a224a873
12566b8000
133225b68b
141c592800
15126c1956
hexbd99900

198809856 has 216 divisors, whose sum is σ = 685067040. Its totient is φ = 56706048.

The previous prime is 198809777. The next prime is 198809867. The reversal of 198809856 is 658908891.

198809856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338395 + ... + 338981.

Almost surely, 2198809856 is an apocalyptic number.

198809856 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 198809856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342533520).

198809856 is an abundant number, since it is smaller than the sum of its proper divisors (486257184).

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

198809856 is an equidigital number, since it uses as much as digits as its factorization.

198809856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The square root of 198809856 is about 14099.9948936161. The cubic root of 198809856 is about 583.6412383366.

The spelling of 198809856 in words is "one hundred ninety-eight million, eight hundred nine thousand, eight hundred fifty-six".