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67256993 is a prime number
BaseRepresentation
bin1000000001001…
…00001010100001
311200120000020202
410000210022201
5114204210433
610401314545
71444450346
oct400441241
9150500222
1067256993
1134a681a1
121a635a55
1310c1b14b
148d0a7cd
155d87ee8
hex40242a1

67256993 has 2 divisors, whose sum is σ = 67256994. Its totient is φ = 67256992.

The previous prime is 67256989. The next prime is 67257019. The reversal of 67256993 is 39965276.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40806544 + 26450449 = 6388^2 + 5143^2 .

It is a cyclic number.

It is not a de Polignac number, because 67256993 - 22 = 67256989 is a prime.

It is a super-3 number, since 3×672569933 (a number of 24 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (67252993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33628496 + 33628497.

It is an arithmetic number, because the mean of its divisors is an integer number (33628497).

Almost surely, 267256993 is an apocalyptic number.

It is an amenable number.

67256993 is a deficient number, since it is larger than the sum of its proper divisors (1).

67256993 is an equidigital number, since it uses as much as digits as its factorization.

67256993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 612360, while the sum is 47.

The square root of 67256993 is about 8201.0360930799. The cubic root of 67256993 is about 406.6734457200.

The spelling of 67256993 in words is "sixty-seven million, two hundred fifty-six thousand, nine hundred ninety-three".