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198924648 = 23313727877
BaseRepresentation
bin10111101101101…
…01100101101000
3111212022102022120
423312311211220
5401411042043
631423351240
74633555146
oct1366654550
9455272276
10198924648
11a231903a
1256752520
133229b9c0
141c5c2596
15126e5983
hexbdb5968

198924648 has 64 divisors (see below), whose sum is σ = 536914560. Its totient is φ = 61053696.

The previous prime is 198924589. The next prime is 198924653. The reversal of 198924648 is 846429891.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 198924648.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226386 + ... + 227262.

It is an arithmetic number, because the mean of its divisors is an integer number (8389290).

Almost surely, 2198924648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198924648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268457280).

198924648 is an abundant number, since it is smaller than the sum of its proper divisors (337989912).

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

198924648 is a wasteful number, since it uses less digits than its factorization.

198924648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1622 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 198924648 is about 14104.0649459650. The cubic root of 198924648 is about 583.7535474140.

The spelling of 198924648 in words is "one hundred ninety-eight million, nine hundred twenty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 727 877 1454 1754 2181 2631 2908 3508 4362 5262 5816 7016 8724 9451 10524 11401 17448 18902 21048 22802 28353 34203 37804 45604 56706 68406 75608 91208 113412 136812 226824 273624 637579 1275158 1912737 2550316 3825474 5100632 7650948 8288527 15301896 16577054 24865581 33154108 49731162 66308216 99462324 198924648