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242854884 = 2232192343359
BaseRepresentation
bin11100111100110…
…10101111100100
3121220222022021100
432132122233210
5444132324014
640033120100
76006142506
oct1636325744
9556868240
10242854884
111150a3518
12693b9030
133b41041c
1424379d76
15164c2009
hexe79abe4

242854884 has 144 divisors (see below), whose sum is σ = 691891200. Its totient is φ = 71451072.

The previous prime is 242854883. The next prime is 242854889. The reversal of 242854884 is 488458242.

242854884 is a `hidden beast` number, since 2 + 4 + 28 + 548 + 84 = 666.

Together with 449036315 it forms a betrothed pair.

It is not an unprimeable number, because it can be changed into a prime (242854883) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 676297 + ... + 676655.

It is an arithmetic number, because the mean of its divisors is an integer number (4804800).

Almost surely, 2242854884 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 242854884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345945600).

242854884 is an abundant number, since it is smaller than the sum of its proper divisors (449036316).

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

242854884 is a wasteful number, since it uses less digits than its factorization.

242854884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 449 counting only the distinct ones).

The product of its digits is 655360, while the sum is 45.

The square root of 242854884 is about 15583.8019751279. The cubic root of 242854884 is about 623.9009026557.

The spelling of 242854884 in words is "two hundred forty-two million, eight hundred fifty-four thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 43 46 57 69 76 86 92 114 129 138 171 172 207 228 258 276 342 359 387 414 437 516 684 718 774 817 828 874 989 1077 1311 1436 1548 1634 1748 1978 2154 2451 2622 2967 3231 3268 3933 3956 4308 4902 5244 5934 6462 6821 7353 7866 8257 8901 9804 11868 12924 13642 14706 15437 15732 16514 17802 18791 20463 24771 27284 29412 30874 33028 35604 37582 40926 46311 49542 56373 61389 61748 74313 75164 81852 92622 99084 112746 122778 138933 148626 156883 169119 185244 225492 245556 277866 293303 297252 313766 338238 355051 470649 555732 586606 627532 676476 710102 879909 941298 1065153 1173212 1411947 1420204 1759818 1882596 2130306 2639727 2823894 3195459 3519636 4260612 5279454 5647788 6390918 6745969 10558908 12781836 13491938 20237907 26983876 40475814 60713721 80951628 121427442 242854884