Search a number
-
+
288096198 = 23131272229
BaseRepresentation
bin10001001010111…
…111111111000110
3202002002210200120
4101022333333012
51042223034243
644330522410
710065530415
oct2112777706
9662083616
10288096198
11138693a35
1280596406
13478c0830
142a39547c
151a45bc83
hex112bffc6

288096198 has 48 divisors (see below), whose sum is σ = 628170480. Its totient is φ = 87562944.

The previous prime is 288096197. The next prime is 288096199. The reversal of 288096198 is 891690882.

It is an interprime number because it is at equal distance from previous prime (288096197) and next prime (288096199).

It is a self number, because there is not a number n which added to its sum of digits gives 288096198.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288096191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1257948 + ... + 1258176.

It is an arithmetic number, because the mean of its divisors is an integer number (13086885).

Almost surely, 2288096198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288096198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314085240).

288096198 is an abundant number, since it is smaller than the sum of its proper divisors (340074282).

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

288096198 is a wasteful number, since it uses less digits than its factorization.

288096198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The square root of 288096198 is about 16973.3967725968. The cubic root of 288096198 is about 660.4589690933.

The spelling of 288096198 in words is "two hundred eighty-eight million, ninety-six thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 13 26 39 78 127 229 254 381 458 687 762 1374 1651 2977 3302 4953 5954 8931 9906 16129 17862 29083 32258 48387 58166 87249 96774 174498 209677 378079 419354 629031 756158 1134237 1258062 2268474 3693541 7387082 11080623 22161246 48016033 96032066 144048099 288096198