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198546048 = 27321947193
BaseRepresentation
bin10111101010110…
…01001010000000
3111211121011222100
423311121022000
5401311433143
631411310400
74630420311
oct1365311200
9454534870
10198546048
11a208a648
12565ab400
133219858c
141c524608
151266d6d3
hexbd59280

198546048 has 192 divisors, whose sum is σ = 617385600. Its totient is φ = 61046784.

The previous prime is 198546037. The next prime is 198546079. The reversal of 198546048 is 840645891.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 198545994 and 198546012.

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, 1028640 + ... + 1028832.

It is an arithmetic number, because the mean of its divisors is an integer number (3215550).

Almost surely, 2198546048 is an apocalyptic number.

198546048 is a gapful number since it is divisible by the number (18) 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 198546048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308692800).

198546048 is an abundant number, since it is smaller than the sum of its proper divisors (418839552).

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

198546048 is a wasteful number, since it uses less digits than its factorization.

198546048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 198546048 is about 14090.6368912125. The cubic root of 198546048 is about 583.3829725014.

The spelling of 198546048 in words is "one hundred ninety-eight million, five hundred forty-six thousand, forty-eight".