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198483728 = 24195397127
BaseRepresentation
bin10111101010010…
…01111100010000
3111211111000111012
423311021330100
5401302434403
631410110052
74630040522
oct1365117420
9454430435
10198483728
11a2047843
125657b328
13321760c1
141c509a12
1512659ed8
hexbd49f10

198483728 has 80 divisors (see below), whose sum is σ = 419973120. Its totient is φ = 90574848.

The previous prime is 198483707. The next prime is 198483751. The reversal of 198483728 is 827384891.

198483728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1562801 + ... + 1562927.

It is an arithmetic number, because the mean of its divisors is an integer number (5249664).

Almost surely, 2198483728 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 198483728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

198483728 is an abundant number, since it is smaller than the sum of its proper divisors (221489392).

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

198483728 is a wasteful number, since it uses less digits than its factorization.

198483728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its digits is 774144, while the sum is 50.

The square root of 198483728 is about 14088.4253200988. The cubic root of 198483728 is about 583.3219283394.

The spelling of 198483728 in words is "one hundred ninety-eight million, four hundred eighty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 53 76 97 106 127 152 194 212 254 304 388 424 508 776 848 1007 1016 1552 1843 2014 2032 2413 3686 4028 4826 5141 6731 7372 8056 9652 10282 12319 13462 14744 16112 19304 20564 24638 26924 29488 38608 41128 49276 53848 82256 97679 98552 107696 127889 195358 197104 234061 255778 390716 468122 511556 652907 781432 936244 1023112 1305814 1562864 1872488 2046224 2611628 3744976 5223256 10446512 12405233 24810466 49620932 99241864 198483728