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67780769 = 729291489
BaseRepresentation
bin1000000101001…
…00000010100001
311201112121201212
410002210002201
5114322441034
610420435505
71452061400
oct402440241
9151477655
1067780769
1135295771
121a848b95
1311072684
149005637
155e3d2ce
hex40a40a1

67780769 has 12 divisors (see below), whose sum is σ = 78984900. Its totient is φ = 57996288.

The previous prime is 67780723. The next prime is 67780777. The reversal of 67780769 is 96708776.

It can be written as a sum of positive squares in 2 ways, for example, as 6315169 + 61465600 = 2513^2 + 7840^2 .

It is a de Polignac number, because none of the positive numbers 2k-67780769 is a prime.

It is a super-2 number, since 2×677807692 = 9188465292462722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67780469) 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 in 11 ways as a sum of consecutive naturals, for example, 44777 + ... + 46265.

It is an arithmetic number, because the mean of its divisors is an integer number (6582075).

Almost surely, 267780769 is an apocalyptic number.

It is an amenable number.

67780769 is a deficient number, since it is larger than the sum of its proper divisors (11204131).

67780769 is a wasteful number, since it uses less digits than its factorization.

67780769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 50.

The square root of 67780769 is about 8232.9076880529. The cubic root of 67780769 is about 407.7263980886.

The spelling of 67780769 in words is "sixty-seven million, seven hundred eighty thousand, seven hundred sixty-nine".

Divisors: 1 7 49 929 1489 6503 10423 45521 72961 1383281 9682967 67780769