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66387648 = 263345769
BaseRepresentation
bin1111110100111…
…1111011000000
311121220211201210
43331033323000
5113443401043
610330530120
71434166665
oct375177300
9147824653
1066387648
1134524028
121a296940
13109a5542
148b61a6c
155c65633
hex3f4fec0

66387648 has 28 divisors (see below), whose sum is σ = 175651160. Its totient is φ = 22129152.

The previous prime is 66387631. The next prime is 66387661. The reversal of 66387648 is 84678366.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 66387597 and 66387606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172693 + ... + 173076.

Almost surely, 266387648 is an apocalyptic number.

It is an amenable number.

66387648 is an abundant number, since it is smaller than the sum of its proper divisors (109263512).

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

66387648 is a wasteful number, since it uses less digits than its factorization.

66387648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345784 (or 345774 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 66387648 is about 8147.8615599432. The cubic root of 66387648 is about 404.9136593877.

The spelling of 66387648 in words is "sixty-six million, three hundred eighty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 345769 691538 1037307 1383076 2074614 2766152 4149228 5532304 8298456 11064608 16596912 22129216 33193824 66387648