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288428933 = 13109203549
BaseRepresentation
bin10001001100010…
…001001110000101
3202002201201010002
4101030101032011
51042314211213
644342011045
710101414452
oct2114211605
9662651102
10288428933
111388a0a21
1280716a85
13479a9110
142a440829
151a4c5658
hex11311385

288428933 has 8 divisors (see below), whose sum is σ = 313467000. Its totient is φ = 263798208.

The previous prime is 288428927. The next prime is 288428941. The reversal of 288428933 is 339824882.

It can be written as a sum of positive squares in 4 ways, for example, as 9972964 + 278455969 = 3158^2 + 16687^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 288428933 - 218 = 288166789 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288428033) 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 7 ways as a sum of consecutive naturals, for example, 100358 + ... + 103191.

It is an arithmetic number, because the mean of its divisors is an integer number (39183375).

Almost surely, 2288428933 is an apocalyptic number.

It is an amenable number.

288428933 is a deficient number, since it is larger than the sum of its proper divisors (25038067).

288428933 is a wasteful number, since it uses less digits than its factorization.

288428933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203671.

The product of its digits is 663552, while the sum is 47.

The square root of 288428933 is about 16983.1956062456. The cubic root of 288428933 is about 660.7131356624.

The spelling of 288428933 in words is "two hundred eighty-eight million, four hundred twenty-eight thousand, nine hundred thirty-three".

Divisors: 1 13 109 1417 203549 2646137 22186841 288428933