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287027268 = 223112997773
BaseRepresentation
bin10001000110111…
…011000001000100
3202000002111101120
4101012323001010
51041434333033
644251553540
710053456123
oct2106730104
9660074346
10287027268
11138023920
128015b8b0
1347608128
142a197aba
151a2ea1b3
hex111bb044

287027268 has 96 divisors (see below), whose sum is σ = 764588160. Its totient is φ = 83005440.

The previous prime is 287027267. The next prime is 287027311. The reversal of 287027268 is 862720782.

It is not an unprimeable number, because it can be changed into a prime (287027267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370930 + ... + 371702.

It is an arithmetic number, because the mean of its divisors is an integer number (7964460).

Almost surely, 2287027268 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 287027268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382294080).

287027268 is an abundant number, since it is smaller than the sum of its proper divisors (477560892).

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

287027268 is a wasteful number, since it uses less digits than its factorization.

287027268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 287027268 is about 16941.8791165561. The cubic root of 287027268 is about 659.6411180208.

The spelling of 287027268 in words is "two hundred eighty-seven million, twenty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 97 116 132 174 194 291 319 348 388 582 638 773 957 1067 1164 1276 1546 1914 2134 2319 2813 3092 3201 3828 4268 4638 5626 6402 8439 8503 9276 11252 12804 16878 17006 22417 25509 30943 33756 34012 44834 51018 61886 67251 74981 89668 92829 102036 123772 134502 149962 185658 224943 246587 269004 299924 371316 449886 493174 739761 824791 899772 986348 1479522 1649582 2174449 2474373 2959044 3299164 4348898 4948746 6523347 8697796 9897492 13046694 23918939 26093388 47837878 71756817 95675756 143513634 287027268