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66584076 = 223133671163
BaseRepresentation
bin1111110111111…
…1111000001100
311122021211011220
43331333320030
5114021142301
610335043340
71435645446
oct375777014
9148254156
1066584076
1134648669
121a370550
1310a43a80
148bb3496
155ca3936
hex3f7fe0c

66584076 has 48 divisors (see below), whose sum is σ = 167913984. Its totient is φ = 20414016.

The previous prime is 66584051. The next prime is 66584083. The reversal of 66584076 is 67048566.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56671 + ... + 57833.

It is an arithmetic number, because the mean of its divisors is an integer number (3498208).

Almost surely, 266584076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66584076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83956992).

66584076 is an abundant number, since it is smaller than the sum of its proper divisors (101329908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66584076 is a wasteful number, since it uses less digits than its factorization.

66584076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 66584076 is about 8159.9066171127. The cubic root of 66584076 is about 405.3126194713.

The spelling of 66584076 in words is "sixty-six million, five hundred eighty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 367 734 1101 1163 1468 2202 2326 3489 4404 4652 4771 6978 9542 13956 14313 15119 19084 28626 30238 45357 57252 60476 90714 181428 426821 853642 1280463 1707284 2560926 5121852 5548673 11097346 16646019 22194692 33292038 66584076