Search a number
-
+
242515812 = 2237111715439
BaseRepresentation
bin11100111010001…
…11111101100100
3121220100002011010
432131013331210
5444041001222
640021542220
76003231120
oct1635077544
9556302133
10242515812
111149917a0
1269274970
133b321ca6
14242cc580
151645680c
hexe747f64

242515812 has 96 divisors (see below), whose sum is σ = 747048960. Its totient is φ = 59281920.

The previous prime is 242515799. The next prime is 242515831. The reversal of 242515812 is 218515242.

It is a self number, because there is not a number n which added to its sum of digits gives 242515812.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7989 + ... + 23427.

It is an arithmetic number, because the mean of its divisors is an integer number (7781760).

Almost surely, 2242515812 is an apocalyptic number.

242515812 is a gapful number since it is divisible by the number (22) 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 242515812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373524480).

242515812 is an abundant number, since it is smaller than the sum of its proper divisors (504533148).

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

242515812 is a wasteful number, since it uses less digits than its factorization.

242515812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15481 (or 15479 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 242515812 is about 15572.9191868448. The cubic root of 242515812 is about 623.6104056404.

The spelling of 242515812 in words is "two hundred forty-two million, five hundred fifteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 714 748 924 1122 1309 1428 2244 2618 3927 5236 7854 15439 15708 30878 46317 61756 92634 108073 169829 185268 216146 262463 324219 339658 432292 509487 524926 648438 679316 787389 1018974 1049852 1188803 1296876 1574778 1837241 2037948 2377606 2887093 3149556 3566409 3674482 4755212 5511723 5774186 7132818 7348964 8661279 11023446 11548372 14265636 17322558 20209651 22046892 34645116 40419302 60628953 80838604 121257906 242515812