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66041056 = 2517731663
BaseRepresentation
bin1111101111101…
…1010011100000
311121021020022001
43323323103200
5113401303211
610315253344
71431224344
oct373732340
9147236261
1066041056
1134307694
121a14a254
13108b3863
148ab1624
155be7ac1
hex3efb4e0

66041056 has 48 divisors (see below), whose sum is σ = 139636224. Its totient is φ = 30633984.

The previous prime is 66041023. The next prime is 66041057. The reversal of 66041056 is 65014066.

It is a super-2 number, since 2×660410562 = 8722842155190272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66041057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38881 + ... + 40543.

It is an arithmetic number, because the mean of its divisors is an integer number (2909088).

Almost surely, 266041056 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 66041056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69818112).

66041056 is an abundant number, since it is smaller than the sum of its proper divisors (73595168).

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

66041056 is a wasteful number, since it uses less digits than its factorization.

66041056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 66041056 is about 8126.5648339258. The cubic root of 66041056 is about 404.2077812333.

The spelling of 66041056 in words is "sixty-six million, forty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 68 73 136 146 272 292 544 584 1168 1241 1663 2336 2482 3326 4964 6652 9928 13304 19856 26608 28271 39712 53216 56542 113084 121399 226168 242798 452336 485596 904672 971192 1942384 2063783 3884768 4127566 8255132 16510264 33020528 66041056