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66584949 = 3195692053
BaseRepresentation
bin1111111000000…
…0000101110101
311122021212101020
43332000011311
5114021204244
610335051353
71435651134
oct376000565
9148255336
1066584949
1134649292
121a370b59
1310a442a2
148bb391b
155ca3d19
hex3f80175

66584949 has 16 divisors (see below), whose sum is σ = 93662400. Its totient is φ = 41959296.

The previous prime is 66584929. The next prime is 66584951. The reversal of 66584949 is 94948566.

66584949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66584949 - 29 = 66584437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66584929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31407 + ... + 33459.

It is an arithmetic number, because the mean of its divisors is an integer number (5853900).

Almost surely, 266584949 is an apocalyptic number.

It is an amenable number.

66584949 is a deficient number, since it is larger than the sum of its proper divisors (27077451).

66584949 is a wasteful number, since it uses less digits than its factorization.

66584949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644.

The product of its digits is 1866240, while the sum is 51.

The square root of 66584949 is about 8159.9601101966. The cubic root of 66584949 is about 405.3143908477.

The spelling of 66584949 in words is "sixty-six million, five hundred eighty-four thousand, nine hundred forty-nine".

Divisors: 1 3 19 57 569 1707 2053 6159 10811 32433 39007 117021 1168157 3504471 22194983 66584949