Search a number
-
+
195397488 = 243311133163
BaseRepresentation
bin10111010010110…
…00011101110000
3111121200012222000
423221120131300
5400010204423
631220014000
74561564656
oct1351303560
9447605860
10195397488
11a032a030
1255531300
1331635420
141bd44dd6
151224a843
hexba58770

195397488 has 160 divisors (see below), whose sum is σ = 659124480. Its totient is φ = 54639360.

The previous prime is 195397459. The next prime is 195397519. The reversal of 195397488 is 884793591.

195397488 is digitally balanced in base 2 and base 3, because in such bases 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 (54).

It is a congruent number.

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, 60195 + ... + 63357.

It is an arithmetic number, because the mean of its divisors is an integer number (4119528).

Almost surely, 2195397488 is an apocalyptic number.

195397488 is a gapful number since it is divisible by the number (18) 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 195397488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329562240).

195397488 is an abundant number, since it is smaller than the sum of its proper divisors (463726992).

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

195397488 is a wasteful number, since it uses less digits than its factorization.

195397488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204 (or 3192 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 195397488 is about 13978.4651517969. The cubic root of 195397488 is about 580.2827475931.

The spelling of 195397488 in words is "one hundred ninety-five million, three hundred ninety-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 156 176 198 208 216 234 264 286 297 312 351 396 429 432 468 528 572 594 624 702 792 858 936 1144 1188 1287 1404 1584 1716 1872 2288 2376 2574 2808 3163 3432 3861 4752 5148 5616 6326 6864 7722 9489 10296 12652 15444 18978 20592 25304 28467 30888 34793 37956 41119 50608 56934 61776 69586 75912 82238 85401 104379 113868 123357 139172 151824 164476 170802 208758 227736 246714 278344 313137 328952 341604 370071 417516 452309 455472 493428 556688 626274 657904 683208 740142 835032 904618 939411 986856 1110213 1252548 1356927 1366416 1480284 1670064 1809236 1878822 1973712 2220426 2505096 2713854 2960568 3618472 3757644 4070781 4440852 5010192 5427708 5921136 7236944 7515288 8141562 8881704 10855416 12212343 15030576 16283124 17763408 21710832 24424686 32566248 48849372 65132496 97698744 195397488