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249577949 is a prime number
BaseRepresentation
bin11101110000001…
…00000111011101
3122101121212120202
432320010013131
51002342443244
640433153245
76120243335
oct1670040735
9571555522
10249577949
11118975675
126b6bb825
133c92557a
142520a0c5
1516d9e04e
hexee041dd

249577949 has 2 divisors, whose sum is σ = 249577950. Its totient is φ = 249577948.

The previous prime is 249577919. The next prime is 249577957. The reversal of 249577949 is 949775942.

249577949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133864900 + 115713049 = 11570^2 + 10757^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-249577949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 249577894 and 249577903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (249577919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124788974 + 124788975.

It is an arithmetic number, because the mean of its divisors is an integer number (124788975).

Almost surely, 2249577949 is an apocalyptic number.

It is an amenable number.

249577949 is a deficient number, since it is larger than the sum of its proper divisors (1).

249577949 is an equidigital number, since it uses as much as digits as its factorization.

249577949 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5715360, while the sum is 56.

The square root of 249577949 is about 15798.0362387228. The cubic root of 249577949 is about 629.6058246443.

The spelling of 249577949 in words is "two hundred forty-nine million, five hundred seventy-seven thousand, nine hundred forty-nine".