Search a number
-
+
189242508 = 2237213191303
BaseRepresentation
bin10110100011110…
…01110010001100
3111012002111220210
423101321302030
5341421230013
630440042420
74455351300
oct1321716214
9435074823
10189242508
1197905774
1253463410
133028ba20
141b1c1d00
1511931cc3
hexb479c8c

189242508 has 144 divisors (see below), whose sum is σ = 582731520. Its totient is φ = 47246976.

The previous prime is 189242503. The next prime is 189242509. The reversal of 189242508 is 805242981.

189242508 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (189242503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144585 + ... + 145887.

Almost surely, 2189242508 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 189242508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291365760).

189242508 is an abundant number, since it is smaller than the sum of its proper divisors (393489012).

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

189242508 is a wasteful number, since it uses less digits than its factorization.

189242508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 189242508 is about 13756.5441881310. The cubic root of 189242508 is about 574.1247002520.

The spelling of 189242508 in words is "one hundred eighty-nine million, two hundred forty-two thousand, five hundred eight".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 49 52 57 76 78 84 91 98 114 133 147 156 182 196 228 247 266 273 294 364 399 494 532 546 588 637 741 798 931 988 1092 1274 1303 1482 1596 1729 1862 1911 2548 2606 2793 2964 3458 3724 3822 3909 5187 5212 5586 6916 7644 7818 9121 10374 11172 12103 15636 16939 18242 20748 24206 24757 27363 33878 36309 36484 48412 49514 50817 54726 63847 67756 72618 74271 99028 101634 109452 118573 127694 145236 148542 173299 191541 203268 237146 255388 297084 321841 346598 355719 383082 474292 519897 643682 693196 711438 766164 830011 965523 1039794 1213093 1287364 1422876 1660022 1931046 2079588 2252887 2426186 2490033 3320044 3639279 3862092 4505774 4852372 4980066 6758661 7278558 9011548 9960132 13517322 14557116 15770209 27034644 31540418 47310627 63080836 94621254 189242508