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288052890 = 235731031277
BaseRepresentation
bin10001001010110…
…101011010011010
3202002000121021120
4101022311122122
51042220143030
644325550110
710065260226
oct2112653232
9662017246
10288052890
11138664444
1280575336
13478a6bc8
142a383786
151a44e010
hex112b569a

288052890 has 64 divisors (see below), whose sum is σ = 708155136. Its totient is φ = 74967552.

The previous prime is 288052889. The next prime is 288052903. The reversal of 288052890 is 98250882.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224932 + ... + 226208.

It is an arithmetic number, because the mean of its divisors is an integer number (11064924).

Almost surely, 2288052890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288052890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354077568).

288052890 is an abundant number, since it is smaller than the sum of its proper divisors (420102246).

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

288052890 is a wasteful number, since it uses less digits than its factorization.

288052890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463.

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 288052890 is about 16972.1209635095. The cubic root of 288052890 is about 660.4258729833.

The spelling of 288052890 in words is "two hundred eighty-eight million, fifty-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 73 103 146 206 219 309 365 438 515 618 730 1030 1095 1277 1545 2190 2554 3090 3831 6385 7519 7662 12770 15038 19155 22557 37595 38310 45114 75190 93221 112785 131531 186442 225570 263062 279663 394593 466105 559326 657655 789186 932210 1315310 1398315 1972965 2796630 3945930 9601763 19203526 28805289 48008815 57610578 96017630 144026445 288052890