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288500941 is a prime number
BaseRepresentation
bin10001001100100…
…010110011001101
3202002212100220001
4101030202303031
51042324012231
644343324301
710102134421
oct2114426315
9662770801
10288500941
11138940033
1280750691
1347a02b21
142a45cb81
151a4dbb61
hex11322ccd

288500941 has 2 divisors, whose sum is σ = 288500942. Its totient is φ = 288500940.

The previous prime is 288500939. The next prime is 288500957. The reversal of 288500941 is 149005882.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 287166916 + 1334025 = 16946^2 + 1155^2 .

It is a cyclic number.

It is not a de Polignac number, because 288500941 - 21 = 288500939 is a prime.

Together with 288500939, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 288500941.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (288500981) 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 as a sum of consecutive naturals, namely, 144250470 + 144250471.

It is an arithmetic number, because the mean of its divisors is an integer number (144250471).

Almost surely, 2288500941 is an apocalyptic number.

It is an amenable number.

288500941 is a deficient number, since it is larger than the sum of its proper divisors (1).

288500941 is an equidigital number, since it uses as much as digits as its factorization.

288500941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 288500941 is about 16985.3154518837. The cubic root of 288500941 is about 660.7681147431.

The spelling of 288500941 in words is "two hundred eighty-eight million, five hundred thousand, nine hundred forty-one".