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198481536 = 27331123227
BaseRepresentation
bin10111101010010…
…01011010000000
3111211110220111000
423311021122000
5401302402121
631410052000
74630031241
oct1365113200
9454426430
10198481536
11a2046130
125657a000
13321750c6
141c508cc8
1512659526
hexbd49680

198481536 has 256 divisors, whose sum is σ = 669772800. Its totient is φ = 57277440.

The previous prime is 198481529. The next prime is 198481553. The reversal of 198481536 is 635184891.

It is a junction number, because it is equal to n+sod(n) for n = 198481491 and 198481500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 874255 + ... + 874481.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 2198481536 is an apocalyptic number.

198481536 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 198481536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334886400).

198481536 is an abundant number, since it is smaller than the sum of its proper divisors (471291264).

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

198481536 is a wasteful number, since it uses less digits than its factorization.

198481536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 266 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 198481536 is about 14088.3475255262. The cubic root of 198481536 is about 583.3197809822.

The spelling of 198481536 in words is "one hundred ninety-eight million, four hundred eighty-one thousand, five hundred thirty-six".