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66437008 = 2411735171
BaseRepresentation
bin1111110101101…
…1111110010000
311122000100102221
43331123332100
5114001441013
610331550424
71434463621
oct375337620
9148010387
1066437008
1134558120
121a2bb414
13109c1b51
148b75a48
155c7508d
hex3f5bf90

66437008 has 40 divisors (see below), whose sum is σ = 142374816. Its totient is φ = 29779200.

The previous prime is 66436973. The next prime is 66437011. The reversal of 66437008 is 80073466.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10263 + ... + 15433.

Almost surely, 266437008 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 66437008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71187408).

66437008 is an abundant number, since it is smaller than the sum of its proper divisors (75937808).

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

66437008 is a wasteful number, since it uses less digits than its factorization.

66437008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 66437008 is about 8150.8900127532. The cubic root of 66437008 is about 405.0139872221.

The spelling of 66437008 in words is "sixty-six million, four hundred thirty-seven thousand, eight".

Divisors: 1 2 4 8 11 16 22 44 73 88 146 176 292 584 803 1168 1606 3212 5171 6424 10342 12848 20684 41368 56881 82736 113762 227524 377483 455048 754966 910096 1509932 3019864 4152313 6039728 8304626 16609252 33218504 66437008