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66520008 = 23332231381
BaseRepresentation
bin1111110111000…
…0001111001000
311122011120022000
43331300033020
5114012120013
610333431000
71435260612
oct375601710
9148146260
1066520008
1134604515
121a33b460
1310a20869
148b97db2
155c8e973
hex3f703c8

66520008 has 64 divisors (see below), whose sum is σ = 185740800. Its totient is φ = 22057920.

The previous prime is 66520001. The next prime is 66520039. The reversal of 66520008 is 80002566.

66520008 is a `hidden beast` number, since 6 + 652 + 0 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×665200082 = 8849822928640128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (66520001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47478 + ... + 48858.

It is an arithmetic number, because the mean of its divisors is an integer number (2902200).

Almost surely, 266520008 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 66520008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92870400).

66520008 is an abundant number, since it is smaller than the sum of its proper divisors (119220792).

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

66520008 is a wasteful number, since it uses less digits than its factorization.

66520008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 66520008 is about 8155.9798920792. The cubic root of 66520008 is about 405.1825788586.

The spelling of 66520008 in words is "sixty-six million, five hundred twenty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 223 446 669 892 1338 1381 1784 2007 2676 2762 4014 4143 5352 5524 6021 8028 8286 11048 12042 12429 16056 16572 24084 24858 33144 37287 48168 49716 74574 99432 149148 298296 307963 615926 923889 1231852 1847778 2463704 2771667 3695556 5543334 7391112 8315001 11086668 16630002 22173336 33260004 66520008