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288239488 = 2717314273
BaseRepresentation
bin10001001011100…
…010111110000000
3202002101002020121
4101023202332000
51042242130423
644333550024
710066665235
oct2113427600
9662332217
10288239488
11138781659
1280645314
1347940b14
142a3d178c
151a48945d
hex112e2f80

288239488 has 64 divisors (see below), whose sum is σ = 627765120. Its totient is φ = 131235840.

The previous prime is 288239467. The next prime is 288239503. The reversal of 288239488 is 884932882.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-5 number, since 5×2882394885 (a number of 43 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65320 + ... + 69592.

It is an arithmetic number, because the mean of its divisors is an integer number (9808830).

Almost surely, 2288239488 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 288239488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313882560).

288239488 is an abundant number, since it is smaller than the sum of its proper divisors (339525632).

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

288239488 is a wasteful number, since it uses less digits than its factorization.

288239488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4335 (or 4323 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 52.

The square root of 288239488 is about 16977.6172650935. The cubic root of 288239488 is about 660.5684481271.

The spelling of 288239488 in words is "two hundred eighty-eight million, two hundred thirty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 272 496 527 544 992 1054 1088 1984 2108 2176 3968 4216 4273 8432 8546 16864 17092 33728 34184 67456 68368 72641 132463 136736 145282 264926 273472 290564 529852 546944 581128 1059704 1162256 2119408 2251871 2324512 4238816 4503742 4649024 8477632 9007484 9298048 16955264 18014968 36029936 72059872 144119744 288239488