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66437632 = 29172449
BaseRepresentation
bin1111110101110…
…0001000000000
311122000101022001
43331130020000
5114002001012
610331553344
71434465502
oct375341000
9148011261
1066437632
1134558638
121a2bb854
13109c2211
148b75d72
155c75357
hex3f5c200

66437632 has 60 divisors (see below), whose sum is σ = 141327450. Its totient is φ = 31195136.

The previous prime is 66437627. The next prime is 66437633. The reversal of 66437632 is 23673466.

It can be written as a sum of positive squares in 3 ways, for example, as 66324736 + 112896 = 8144^2 + 336^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66437591 and 66437600.

It is not an unprimeable number, because it can be changed into a prime (66437633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147744 + ... + 148192.

Almost surely, 266437632 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 66437632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70663725).

66437632 is an abundant number, since it is smaller than the sum of its proper divisors (74889818).

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

66437632 is an equidigital number, since it uses as much as digits as its factorization.

66437632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 468 counting only the distinct ones).

The product of its digits is 108864, while the sum is 37.

The square root of 66437632 is about 8150.9282906918. The cubic root of 66437632 is about 405.0152552299.

The spelling of 66437632 in words is "sixty-six million, four hundred thirty-seven thousand, six hundred thirty-two".