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249903649 is a prime number
BaseRepresentation
bin11101110010100…
…11101000100001
3122102020102100201
432321103220201
51002433404044
640444145201
76123101032
oct1671235041
9572212321
10249903649
11119078346
126b838201
133ca0a8a8
1425292a89
1516e157d4
hexee53a21

249903649 has 2 divisors, whose sum is σ = 249903650. Its totient is φ = 249903648.

The previous prime is 249903629. The next prime is 249903707. The reversal of 249903649 is 946309942.

249903649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 147185424 + 102718225 = 12132^2 + 10135^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-249903649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 249903599 and 249903608.

It is not a weakly prime, because it can be changed into another prime (249903629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124951824 + 124951825.

It is an arithmetic number, because the mean of its divisors is an integer number (124951825).

Almost surely, 2249903649 is an apocalyptic number.

It is an amenable number.

249903649 is a deficient number, since it is larger than the sum of its proper divisors (1).

249903649 is an equidigital number, since it uses as much as digits as its factorization.

249903649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 419904, while the sum is 46.

The square root of 249903649 is about 15808.3411210664. The cubic root of 249903649 is about 629.8795847796.

The spelling of 249903649 in words is "two hundred forty-nine million, nine hundred three thousand, six hundred forty-nine".