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76668417 = 3372331741
BaseRepresentation
bin1001001000111…
…01111000000001
312100021011022000
410210131320001
5124111342132
611335134213
71620446040
oct444357001
9170234260
1076668417
113a306131
1221814369
1312b64b37
14a27a557
156ae687c
hex491de01

76668417 has 32 divisors (see below), whose sum is σ = 130440960. Its totient is φ = 43597440.

The previous prime is 76668413. The next prime is 76668433. The reversal of 76668417 is 71486667.

It is not a de Polignac number, because 76668417 - 22 = 76668413 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76668413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43167 + ... + 44907.

It is an arithmetic number, because the mean of its divisors is an integer number (4076280).

Almost surely, 276668417 is an apocalyptic number.

It is an amenable number.

76668417 is a deficient number, since it is larger than the sum of its proper divisors (53772543).

76668417 is a wasteful number, since it uses less digits than its factorization.

76668417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1984 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 76668417 is about 8756.0503082155. The cubic root of 76668417 is about 424.8205322994.

The spelling of 76668417 in words is "seventy-six million, six hundred sixty-eight thousand, four hundred seventeen".

Divisors: 1 3 7 9 21 27 63 189 233 699 1631 1741 2097 4893 5223 6291 12187 14679 15669 36561 44037 47007 109683 329049 405653 1216959 2839571 3650877 8518713 10952631 25556139 76668417