Search a number
-
+
198000648 = 23325994591
BaseRepresentation
bin10111100110101…
…00000000001000
3111210120110211100
423303110000020
5401142010043
631351501400
74622656236
oct1363240010
9453513740
10198000648
11a18478aa
1256387860
1332037261
141c421956
15125b1cd3
hexbcd4008

198000648 has 48 divisors (see below), whose sum is σ = 537264000. Its totient is φ = 65875680.

The previous prime is 198000619. The next prime is 198000697. The reversal of 198000648 is 846000891.

It is a happy number.

198000648 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 0 + 0 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40833 + ... + 45423.

It is an arithmetic number, because the mean of its divisors is an integer number (11193000).

Almost surely, 2198000648 is an apocalyptic number.

198000648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

198000648 is an abundant number, since it is smaller than the sum of its proper divisors (339263352).

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

198000648 is a wasteful number, since it uses less digits than its factorization.

198000648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5202 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 198000648 is about 14071.2703051288. The cubic root of 198000648 is about 582.8483041583.

The spelling of 198000648 in words is "one hundred ninety-eight million, six hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 599 1198 1797 2396 3594 4591 4792 5391 7188 9182 10782 13773 14376 18364 21564 27546 36728 41319 43128 55092 82638 110184 165276 330552 2750009 5500018 8250027 11000036 16500054 22000072 24750081 33000108 49500162 66000216 99000324 198000648