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243886896 = 243311173019
BaseRepresentation
bin11101000100101…
…10101100110000
3121222220201221000
432202112230300
5444413340041
640111202000
76021001341
oct1642265460
9558821830
10243886896
11115738920
1269816300
133b6b2096
14245680c8
1516627bb6
hexe896b30

243886896 has 160 divisors (see below), whose sum is σ = 808876800. Its totient is φ = 69534720.

The previous prime is 243886861. The next prime is 243886921. The reversal of 243886896 is 698688342.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 79275 + ... + 82293.

It is an arithmetic number, because the mean of its divisors is an integer number (5055480).

Almost surely, 2243886896 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 243886896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404438400).

243886896 is an abundant number, since it is smaller than the sum of its proper divisors (564989904).

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

243886896 is a wasteful number, since it uses less digits than its factorization.

243886896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3052 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 243886896 is about 15616.8785613515. The cubic root of 243886896 is about 624.7834095371.

The spelling of 243886896 in words is "two hundred forty-three million, eight hundred eighty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 33 34 36 44 48 51 54 66 68 72 88 99 102 108 132 136 144 153 176 187 198 204 216 264 272 297 306 374 396 408 432 459 528 561 594 612 748 792 816 918 1122 1188 1224 1496 1584 1683 1836 2244 2376 2448 2992 3019 3366 3672 4488 4752 5049 6038 6732 7344 8976 9057 10098 12076 13464 18114 20196 24152 26928 27171 33209 36228 40392 48304 51323 54342 66418 72456 80784 81513 99627 102646 108684 132836 144912 153969 163026 199254 205292 217368 265672 298881 307938 326052 398508 410584 434736 461907 531344 564553 597762 615876 652104 797016 821168 896643 923814 1129106 1195524 1231752 1304208 1385721 1594032 1693659 1793286 1847628 2258212 2391048 2463504 2771442 3387318 3586572 3695256 4516424 4782096 5080977 5542884 6774636 7173144 7390512 9032848 10161954 11085768 13549272 14346288 15242931 20323908 22171536 27098544 30485862 40647816 60971724 81295632 121943448 243886896