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49000993 is a prime number
BaseRepresentation
bin1011101011101…
…1001000100001
310102012111201121
42322323020201
5100021012433
64510132241
71133334016
oct272731041
9112174647
1049000993
1125729198
12144b1081
13a1c8792
14671770d
15447dc2d
hex2ebb221

49000993 has 2 divisors, whose sum is σ = 49000994. Its totient is φ = 49000992.

The previous prime is 49000967. The next prime is 49001003. The reversal of 49000993 is 39900094.

49000993 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., 42810849 + 6190144 = 6543^2 + 2488^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-49000993 is a prime.

It is not a weakly prime, because it can be changed into another prime (49000933) 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, 24500496 + 24500497.

It is an arithmetic number, because the mean of its divisors is an integer number (24500497).

Almost surely, 249000993 is an apocalyptic number.

It is an amenable number.

49000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

49000993 is an equidigital number, since it uses as much as digits as its factorization.

49000993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 34.

The square root of 49000993 is about 7000.0709282121. The cubic root of 49000993 is about 365.9330428839.

The spelling of 49000993 in words is "forty-nine million, nine hundred ninety-three", and thus it is an aban number.