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288442011 = 311132323141
BaseRepresentation
bin10001001100010…
…100011010011011
3202002202101001110
4101030110122123
51042320121021
644342151403
710101500544
oct2114243233
9662671043
10288442011
111388aa830
1280722563
13479b2060
142a4454cb
151a4c9476
hex1131469b

288442011 has 96 divisors (see below), whose sum is σ = 499451904. Its totient is φ = 145728000.

The previous prime is 288442003. The next prime is 288442027. The reversal of 288442011 is 110244882.

It is not a de Polignac number, because 288442011 - 23 = 288442003 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 288442011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288442031) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7035151 + ... + 7035191.

It is an arithmetic number, because the mean of its divisors is an integer number (5202624).

Almost surely, 2288442011 is an apocalyptic number.

288442011 is a deficient number, since it is larger than the sum of its proper divisors (211009893).

288442011 is a wasteful number, since it uses less digits than its factorization.

288442011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 288442011 is about 16983.5806295375. The cubic root of 288442011 is about 660.7231215721.

Adding to 288442011 its reverse (110244882), we get a palindrome (398686893).

The spelling of 288442011 in words is "two hundred eighty-eight million, four hundred forty-two thousand, eleven".

Divisors: 1 3 11 13 23 31 33 39 41 69 93 123 143 253 299 341 403 429 451 529 533 713 759 897 943 1023 1209 1271 1353 1587 1599 2139 2829 3289 3813 4433 5819 5863 6877 7843 9269 9867 10373 12259 13299 13981 16399 16523 17457 17589 20631 21689 23529 27807 29233 31119 36777 41943 49197 49569 65067 75647 87699 101959 134849 180389 181753 213187 226941 238579 281957 305877 321563 380029 404547 541167 545259 639561 672359 715737 845871 964689 1140087 2017077 2345057 3101527 4180319 7035171 7395949 8740667 9304581 12540957 22187847 26222001 96147337 288442011