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66483216 = 2432461689
BaseRepresentation
bin1111110110011…
…1010000010000
311122002200211100
43331213100100
5114004430331
610332544400
71435045422
oct375472020
9148080740
1066483216
1134589908
121a322100
1310a09ba7
148b88812
155c83ae6
hex3f67410

66483216 has 30 divisors (see below), whose sum is σ = 186061070. Its totient is φ = 22161024.

The previous prime is 66483187. The next prime is 66483233. The reversal of 66483216 is 61238466.

66483216 is a `hidden beast` number, since 6 + 648 + 3 + 2 + 1 + 6 = 666.

66483216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 44355600 + 22127616 = 6660^2 + 4704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 230701 + ... + 230988.

Almost surely, 266483216 is an apocalyptic number.

It is an amenable number.

66483216 is an abundant number, since it is smaller than the sum of its proper divisors (119577854).

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

66483216 is a wasteful number, since it uses less digits than its factorization.

66483216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461703 (or 461694 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 66483216 is about 8153.7240571410. The cubic root of 66483216 is about 405.1078633599.

The spelling of 66483216 in words is "sixty-six million, four hundred eighty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 461689 923378 1385067 1846756 2770134 3693512 4155201 5540268 7387024 8310402 11080536 16620804 22161072 33241608 66483216