Search a number
-
+
188028192 = 25311216187
BaseRepresentation
bin10110011010100…
…01010100100000
3111002210211012010
423031101110200
5341113400232
630354032520
74442133102
oct1315212440
9432724163
10188028192
1197156400
1252b78740
132cc550b1
141ad87572
15117920cc
hexb351520

188028192 has 72 divisors (see below), whose sum is σ = 542557008. Its totient is φ = 56974720.

The previous prime is 188028187. The next prime is 188028193. The reversal of 188028192 is 291820881.

It is a self number, because there is not a number n which added to its sum of digits gives 188028192.

It is not an unprimeable number, because it can be changed into a prime (188028193) 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 11 ways as a sum of consecutive naturals, for example, 3523 + ... + 19709.

It is an arithmetic number, because the mean of its divisors is an integer number (7535514).

Almost surely, 2188028192 is an apocalyptic number.

188028192 is a gapful number since it is divisible by the number (12) 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 188028192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271278504).

188028192 is an abundant number, since it is smaller than the sum of its proper divisors (354528816).

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

188028192 is a wasteful number, since it uses less digits than its factorization.

188028192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16222 (or 16203 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 188028192 is about 13712.3372187239. The cubic root of 188028192 is about 572.8940653128.

The spelling of 188028192 in words is "one hundred eighty-eight million, twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 16187 32374 48561 64748 97122 129496 178057 194244 258992 356114 388488 517984 534171 712228 776976 1068342 1424456 1553952 1958627 2136684 2848912 3917254 4273368 5697824 5875881 7834508 8546736 11751762 15669016 17093472 23503524 31338032 47007048 62676064 94014096 188028192