Search a number
-
+
189186928 = 24743163241
BaseRepresentation
bin10110100011011…
…00001101110000
3111011222200200021
423101230031300
5341412440203
630434533224
74455030250
oct1321541560
9434880607
10189186928
1197877a37
1253437214
133026c638
141b1a9960
15119205bd
hexb46c370

189186928 has 80 divisors (see below), whose sum is σ = 433075456. Its totient is φ = 78382080.

The previous prime is 189186917. The next prime is 189186929. The reversal of 189186928 is 829681981.

189186928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189186929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784888 + ... + 785128.

Almost surely, 2189186928 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 189186928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216537728).

189186928 is an abundant number, since it is smaller than the sum of its proper divisors (243888528).

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

189186928 is a wasteful number, since it uses less digits than its factorization.

189186928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 456 counting only the distinct ones).

The product of its digits is 497664, while the sum is 52.

The square root of 189186928 is about 13754.5239103358. The cubic root of 189186928 is about 574.0684884709.

The spelling of 189186928 in words is "one hundred eighty-nine million, one hundred eighty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 163 172 241 301 326 344 482 602 652 688 964 1141 1204 1304 1687 1928 2282 2408 2608 3374 3856 4564 4816 6748 7009 9128 10363 13496 14018 18256 20726 26992 28036 39283 41452 49063 56072 72541 78566 82904 98126 112144 145082 157132 165808 196252 274981 290164 314264 392504 549962 580328 628528 785008 1099924 1160656 1689169 2199848 3378338 4399696 6756676 11824183 13513352 23648366 27026704 47296732 94593464 189186928