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240882049 is a prime number
BaseRepresentation
bin11100101101110…
…01000110000001
3121210021002001101
432112321012001
5443131211144
635522534401
75653315012
oct1626710601
9553232041
10240882049
11113a76281
1268807401
133ab9c475
1423dc5009
15162326d4
hexe5b9181

240882049 has 2 divisors, whose sum is σ = 240882050. Its totient is φ = 240882048.

The previous prime is 240882007. The next prime is 240882053. The reversal of 240882049 is 940288042.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 226954225 + 13927824 = 15065^2 + 3732^2 .

It is a cyclic number.

It is not a de Polignac number, because 240882049 - 217 = 240750977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 240881999 and 240882017.

It is not a weakly prime, because it can be changed into another prime (240882079) 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, 120441024 + 120441025.

It is an arithmetic number, because the mean of its divisors is an integer number (120441025).

Almost surely, 2240882049 is an apocalyptic number.

It is an amenable number.

240882049 is a deficient number, since it is larger than the sum of its proper divisors (1).

240882049 is an equidigital number, since it uses as much as digits as its factorization.

240882049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 240882049 is about 15520.3752854111. The cubic root of 240882049 is about 622.2068846855.

The spelling of 240882049 in words is "two hundred forty million, eight hundred eighty-two thousand, forty-nine".