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249541093 is a prime number
BaseRepresentation
bin11101101111110…
…11000111100101
3122101120000000201
432313323013211
51002340303333
640432310501
76120031024
oct1667730745
9571500021
10249541093
1111894aa0a
126b6a2431
133c911869
14251da8bb
1516d9317d
hexedfb1e5

249541093 has 2 divisors, whose sum is σ = 249541094. Its totient is φ = 249541092.

The previous prime is 249541091. The next prime is 249541121. The reversal of 249541093 is 390145942.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 229128769 + 20412324 = 15137^2 + 4518^2 .

It is a cyclic number.

It is not a de Polignac number, because 249541093 - 21 = 249541091 is a prime.

Together with 249541091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (249541091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124770546 + 124770547.

It is an arithmetic number, because the mean of its divisors is an integer number (124770547).

Almost surely, 2249541093 is an apocalyptic number.

It is an amenable number.

249541093 is a deficient number, since it is larger than the sum of its proper divisors (1).

249541093 is an equidigital number, since it uses as much as digits as its factorization.

249541093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 249541093 is about 15796.8697215619. The cubic root of 249541093 is about 629.5748311281.

The spelling of 249541093 in words is "two hundred forty-nine million, five hundred forty-one thousand, ninety-three".