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285664368 = 24311896079
BaseRepresentation
bin10001000001101…
…110010001110000
3201220112020211210
4101001232101300
51041112224433
644202440120
710036051503
oct2101562160
9656466753
10285664368
11137282960
127b803040
134724b992
1429d2113a
151a12b463
hex1106e470

285664368 has 80 divisors (see below), whose sum is σ = 814233600. Its totient is φ = 85578240.

The previous prime is 285664363. The next prime is 285664369. The reversal of 285664368 is 863466582.

It is a super-2 number, since 2×2856643682 = 163208262289678848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285664363) 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 15 ways as a sum of consecutive naturals, for example, 43953 + ... + 50031.

It is an arithmetic number, because the mean of its divisors is an integer number (10177920).

Almost surely, 2285664368 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 285664368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407116800).

285664368 is an abundant number, since it is smaller than the sum of its proper divisors (528569232).

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

285664368 is a wasteful number, since it uses less digits than its factorization.

285664368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190 (or 6184 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 285664368 is about 16901.6084441689. The cubic root of 285664368 is about 658.5953967007.

The spelling of 285664368 in words is "two hundred eighty-five million, six hundred sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 89 132 176 178 264 267 356 528 534 712 979 1068 1424 1958 2136 2937 3916 4272 5874 6079 7832 11748 12158 15664 18237 23496 24316 36474 46992 48632 66869 72948 97264 133738 145896 200607 267476 291792 401214 534952 541031 802428 1069904 1082062 1604856 1623093 2164124 3209712 3246186 4328248 5951341 6492372 8656496 11902682 12984744 17854023 23805364 25969488 35708046 47610728 71416092 95221456 142832184 285664368