Search a number
-
+
198518848 = 2611419673
BaseRepresentation
bin10111101010100…
…10100001000000
3111211112210122221
423311102201000
5401310100343
631410540424
74630245103
oct1365224100
9454483587
10198518848
11a2071170
1256597714
1332189098
141c51873a
15126655ed
hexbd52840

198518848 has 56 divisors (see below), whose sum is σ = 431413920. Its totient is φ = 89886720.

The previous prime is 198518797. The next prime is 198518849. The reversal of 198518848 is 848815891.

It is a super-2 number, since 2×1985188482 = 78819466022494208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198518795 and 198518804.

It is not an unprimeable number, because it can be changed into a prime (198518849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294640 + ... + 295312.

It is an arithmetic number, because the mean of its divisors is an integer number (7703820).

Almost surely, 2198518848 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 198518848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215706960).

198518848 is an abundant number, since it is smaller than the sum of its proper divisors (232895072).

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

198518848 is a wasteful number, since it uses less digits than its factorization.

198518848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1105 counting only the distinct ones).

The product of its digits is 737280, while the sum is 52.

The square root of 198518848 is about 14089.6716782188. The cubic root of 198518848 is about 583.3563309210.

The spelling of 198518848 in words is "one hundred ninety-eight million, five hundred eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 419 673 704 838 1346 1676 2692 3352 4609 5384 6704 7403 9218 10768 13408 14806 18436 21536 26816 29612 36872 43072 59224 73744 118448 147488 236896 281987 294976 473792 563974 1127948 2255896 3101857 4511792 6203714 9023584 12407428 18047168 24814856 49629712 99259424 198518848