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56735257 is a prime number
BaseRepresentation
bin1101100001101…
…1011000011001
310221202110010211
43120123120121
5104011012012
65344011121
71256145625
oct330333031
9127673124
1056735257
112a031047
1217000aa1
13b9a5c77
14776c185
154eaa6a7
hex361b619

56735257 has 2 divisors, whose sum is σ = 56735258. Its totient is φ = 56735256.

The previous prime is 56735243. The next prime is 56735269. The reversal of 56735257 is 75253765.

56735257 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., 35473936 + 21261321 = 5956^2 + 4611^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-56735257 is a prime.

It is not a weakly prime, because it can be changed into another prime (56735207) 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, 28367628 + 28367629.

It is an arithmetic number, because the mean of its divisors is an integer number (28367629).

Almost surely, 256735257 is an apocalyptic number.

It is an amenable number.

56735257 is a deficient number, since it is larger than the sum of its proper divisors (1).

56735257 is an equidigital number, since it uses as much as digits as its factorization.

56735257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 220500, while the sum is 40.

The square root of 56735257 is about 7532.2809958206. The cubic root of 56735257 is about 384.2533615327.

The spelling of 56735257 in words is "fifty-six million, seven hundred thirty-five thousand, two hundred fifty-seven".