Search a number
-
+
189554352 = 2431317107167
BaseRepresentation
bin10110100110001…
…01111010110000
3111012200100200120
423103011322300
5342011214402
630450450240
74461120411
oct1323057260
9435610616
10189554352
1197aa8a99
1253593980
133036a950
141b263808
15119943bc
hexb4c5eb0

189554352 has 160 divisors (see below), whose sum is σ = 566963712. Its totient is φ = 54054912.

The previous prime is 189554333. The next prime is 189554381. The reversal of 189554352 is 253455981.

189554352 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 31 ways as a sum of consecutive naturals, for example, 1134973 + ... + 1135139.

Almost surely, 2189554352 is an apocalyptic number.

189554352 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 189554352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283481856).

189554352 is an abundant number, since it is smaller than the sum of its proper divisors (377409360).

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

189554352 is a wasteful number, since it uses less digits than its factorization.

189554352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its digits is 216000, while the sum is 42.

The square root of 189554352 is about 13767.8739099398. The cubic root of 189554352 is about 574.4398850597.

The spelling of 189554352 in words is "one hundred eighty-nine million, five hundred fifty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 107 136 156 167 204 208 214 221 272 312 321 334 408 428 442 501 624 642 663 668 816 856 884 1002 1284 1326 1336 1391 1712 1768 1819 2004 2171 2568 2652 2672 2782 2839 3536 3638 4008 4173 4342 5136 5304 5457 5564 5678 6513 7276 8016 8346 8517 8684 10608 10914 11128 11356 13026 14552 16692 17034 17368 17869 21828 22256 22712 23647 26052 29104 33384 34068 34736 35738 36907 43656 45424 47294 52104 53607 66768 68136 70941 71476 73814 87312 94588 104208 107214 110721 136272 141882 142952 147628 189176 214428 221442 232297 283764 285904 295256 303773 378352 428856 442884 464594 567528 590512 607546 696891 857712 885768 911319 929188 1135056 1215092 1393782 1771536 1822638 1858376 2430184 2787564 3645276 3716752 3949049 4860368 5575128 7290552 7898098 11150256 11847147 14581104 15796196 23694294 31592392 47388588 63184784 94777176 189554352