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198499840 = 2957111953
BaseRepresentation
bin10111101010011…
…01111000000000
3111211111211120221
423311031320000
5401303443330
631410312424
74630135510
oct1365157000
9454454527
10198499840
11a2058960
1256588714
1332180536
141c511840
151265eb7a
hexbd4de00

198499840 has 320 divisors, whose sum is σ = 636387840. Its totient is φ = 57507840.

The previous prime is 198499799. The next prime is 198499853. The reversal of 198499840 is 48994891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3745254 + ... + 3745306.

It is an arithmetic number, because the mean of its divisors is an integer number (1988712).

Almost surely, 2198499840 is an apocalyptic number.

198499840 is a gapful number since it is divisible by the number (10) 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 198499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318193920).

198499840 is an abundant number, since it is smaller than the sum of its proper divisors (437888000).

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

198499840 is a wasteful number, since it uses less digits than its factorization.

198499840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The square root of 198499840 is about 14088.9971254167. The cubic root of 198499840 is about 583.3377117132.

The spelling of 198499840 in words is "one hundred ninety-eight million, four hundred ninety-nine thousand, eight hundred forty".