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66828737 = 137641761
BaseRepresentation
bin1111111011101…
…1100111000001
311122202020210102
43332323213001
5114102004422
610344212145
71441014653
oct376734701
9148666712
1066828737
11347a5468
121a46a055
1310acb241
148c386d3
155d01192
hex3fbb9c1

66828737 has 8 divisors (see below), whose sum is σ = 67510152. Its totient is φ = 66150400.

The previous prime is 66828709. The next prime is 66828739. The reversal of 66828737 is 73782866.

It can be written as a sum of positive squares in 4 ways, for example, as 5973136 + 60855601 = 2444^2 + 7801^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 66828737 - 210 = 66827713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66828691 and 66828700.

It is not an unprimeable number, because it can be changed into a prime (66828739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87437 + ... + 88197.

It is an arithmetic number, because the mean of its divisors is an integer number (8438769).

Almost surely, 266828737 is an apocalyptic number.

It is an amenable number.

66828737 is a deficient number, since it is larger than the sum of its proper divisors (681415).

66828737 is a wasteful number, since it uses less digits than its factorization.

66828737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539.

The product of its digits is 677376, while the sum is 47.

The square root of 66828737 is about 8174.8845251783. The cubic root of 66828737 is about 405.8084486323.

The spelling of 66828737 in words is "sixty-six million, eight hundred twenty-eight thousand, seven hundred thirty-seven".

Divisors: 1 137 641 761 87817 104257 487801 66828737