Search a number
-
+
189344844 = 223313177933
BaseRepresentation
bin10110100100100…
…10110001001100
3111012021201022000
423102102301030
5341433013334
630442152300
74456255533
oct1322226114
9435251260
10189344844
1197975647
12534b2690
13302c6490
141b20b31a
1511952299
hexb492c4c

189344844 has 96 divisors (see below), whose sum is σ = 559823040. Its totient is φ = 54825984.

The previous prime is 189344839. The next prime is 189344849. The reversal of 189344844 is 448443981.

It is an interprime number because it is at equal distance from previous prime (189344839) and next prime (189344849).

It is a self number, because there is not a number n which added to its sum of digits gives 189344844.

It is not an unprimeable number, because it can be changed into a prime (189344849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19902 + ... + 27834.

It is an arithmetic number, because the mean of its divisors is an integer number (5831490).

Almost surely, 2189344844 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 189344844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279911520).

189344844 is an abundant number, since it is smaller than the sum of its proper divisors (370478196).

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

189344844 is a wasteful number, since it uses less digits than its factorization.

189344844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7976 (or 7968 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 189344844 is about 13760.2632242265. The cubic root of 189344844 is about 574.2281707292.

The spelling of 189344844 in words is "one hundred eighty-nine million, three hundred forty-four thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 204 221 234 306 351 442 459 468 612 663 702 884 918 1326 1404 1836 1989 2652 3978 5967 7933 7956 11934 15866 23799 23868 31732 47598 71397 95196 103129 134861 142794 206258 214191 269722 285588 309387 404583 412516 428382 539444 618774 809166 856764 928161 1213749 1237548 1618332 1753193 1856322 2427498 2784483 3506386 3641247 3712644 4854996 5259579 5568966 7012772 7282494 10519158 11137932 14564988 15778737 21038316 31557474 47336211 63114948 94672422 189344844