Search a number
-
+
198808096 = 2519973371
BaseRepresentation
bin10111101100110…
…01001000100000
3111212002111102211
423312121020200
5401343324341
631421051504
74632561304
oct1366311040
9455074384
10198808096
11a2249513
12566b6b94
133225a936
141c591d04
15126c1181
hexbd99220

198808096 has 48 divisors (see below), whose sum is σ = 416374560. Its totient is φ = 93173760.

The previous prime is 198808091. The next prime is 198808123. The reversal of 198808096 is 690808891.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (198808091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57291 + ... + 60661.

It is an arithmetic number, because the mean of its divisors is an integer number (8674470).

Almost surely, 2198808096 is an apocalyptic number.

198808096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198808096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208187280).

198808096 is an abundant number, since it is smaller than the sum of its proper divisors (217566464).

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

198808096 is a wasteful number, since it uses less digits than its factorization.

198808096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3497 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 49.

The square root of 198808096 is about 14099.9324821078. The cubic root of 198808096 is about 583.6395160685.

The spelling of 198808096 in words is "one hundred ninety-eight million, eight hundred eight thousand, ninety-six".

Divisors: 1 2 4 8 16 19 32 38 76 97 152 194 304 388 608 776 1552 1843 3104 3371 3686 6742 7372 13484 14744 26968 29488 53936 58976 64049 107872 128098 256196 326987 512392 653974 1024784 1307948 2049568 2615896 5231792 6212753 10463584 12425506 24851012 49702024 99404048 198808096