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66527082 = 236103443
BaseRepresentation
bin1111110111000…
…1111101101010
311122011221000000
43331301331222
5114012331312
610333523430
71435320336
oct375617552
9148157000
1066527082
1134609866
121a343576
1310a23b4b
148b9a7c6
155c91adc
hex3f71f6a

66527082 has 56 divisors (see below), whose sum is σ = 151411104. Its totient is φ = 21910824.

The previous prime is 66527053. The next prime is 66527099. The reversal of 66527082 is 28072566.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 149953 + ... + 150395.

Almost surely, 266527082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66527082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75705552).

66527082 is an abundant number, since it is smaller than the sum of its proper divisors (84884022).

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

66527082 is a wasteful number, since it uses less digits than its factorization.

66527082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 66527082 is about 8156.4135500844. The cubic root of 66527082 is about 405.1969412540.

The spelling of 66527082 in words is "sixty-six million, five hundred twenty-seven thousand, eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 206 243 309 443 486 618 729 886 927 1329 1458 1854 2658 2781 3987 5562 7974 8343 11961 16686 23922 25029 35883 45629 50058 71766 75087 91258 107649 136887 150174 215298 273774 322947 410661 645894 821322 1231983 2463966 3695949 7391898 11087847 22175694 33263541 66527082