Search a number
-
+
198788928 = 26313731091
BaseRepresentation
bin10111101100101…
…00011101000000
3111212001112010220
423312110131000
5401342221203
631420423040
74632451362
oct1366243500
9455045126
10198788928
11a2236078
12566a7a80
1332251cb0
141c588d32
15126ba653
hexbd94740

198788928 has 112 divisors (see below), whose sum is σ = 574706496. Its totient is φ = 60272640.

The previous prime is 198788923. The next prime is 198788969. The reversal of 198788928 is 829887891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198788923) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 181663 + ... + 182753.

It is an arithmetic number, because the mean of its divisors is an integer number (5131308).

Almost surely, 2198788928 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 198788928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287353248).

198788928 is an abundant number, since it is smaller than the sum of its proper divisors (375917568).

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

198788928 is a wasteful number, since it uses less digits than its factorization.

198788928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1182 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 60.

The square root of 198788928 is about 14099.2527461564. The cubic root of 198788928 is about 583.6207583451.

The spelling of 198788928 in words is "one hundred ninety-eight million, seven hundred eighty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 73 78 96 104 146 156 192 208 219 292 312 416 438 584 624 832 876 949 1091 1168 1248 1752 1898 2182 2336 2496 2847 3273 3504 3796 4364 4672 5694 6546 7008 7592 8728 11388 13092 14016 14183 15184 17456 22776 26184 28366 30368 34912 42549 45552 52368 56732 60736 69824 79643 85098 91104 104736 113464 159286 170196 182208 209472 226928 238929 318572 340392 453856 477858 637144 680784 907712 955716 1035359 1274288 1361568 1911432 2070718 2548576 2723136 3106077 3822864 4141436 5097152 6212154 7645728 8282872 12424308 15291456 16565744 24848616 33131488 49697232 66262976 99394464 198788928