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66575457 = 3213569021
BaseRepresentation
bin1111110111110…
…1110001100001
311122021101100200
43331331301201
5114020403312
610334535413
71435611354
oct375756141
9148241320
1066575457
1134642143
121a367569
1310a3cb80
148bb029b
155ca10dc
hex3f7dc61

66575457 has 12 divisors (see below), whose sum is σ = 103562004. Its totient is φ = 40969440.

The previous prime is 66575441. The next prime is 66575477. The reversal of 66575457 is 75457566.

It can be written as a sum of positive squares in 2 ways, for example, as 5875776 + 60699681 = 2424^2 + 7791^2 .

It is not a de Polignac number, because 66575457 - 24 = 66575441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66575407) 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 11 ways as a sum of consecutive naturals, for example, 284394 + ... + 284627.

It is an arithmetic number, because the mean of its divisors is an integer number (8630167).

Almost surely, 266575457 is an apocalyptic number.

It is an amenable number.

66575457 is a deficient number, since it is larger than the sum of its proper divisors (36986547).

66575457 is a wasteful number, since it uses less digits than its factorization.

66575457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569040 (or 569037 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The square root of 66575457 is about 8159.3784689767. The cubic root of 66575457 is about 405.2951301034.

The spelling of 66575457 in words is "sixty-six million, five hundred seventy-five thousand, four hundred fifty-seven".

Divisors: 1 3 9 13 39 117 569021 1707063 5121189 7397273 22191819 66575457