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66425408 = 267672213
BaseRepresentation
bin1111110101100…
…1001001000000
311121222202112022
43331121021000
5114001103113
610331421012
71434415040
oct375311100
9147882468
1066425408
113454a435
121a2b4768
13109b979a
148b71720
155c71908
hex3f59240

66425408 has 56 divisors (see below), whose sum is σ = 152960832. Its totient is φ = 28030464.

The previous prime is 66425369. The next prime is 66425413. The reversal of 66425408 is 80452466.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28910 + ... + 31122.

Almost surely, 266425408 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 66425408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76480416).

66425408 is an abundant number, since it is smaller than the sum of its proper divisors (86535424).

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

66425408 is a wasteful number, since it uses less digits than its factorization.

66425408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 66425408 is about 8150.1784029554. The cubic root of 66425408 is about 404.9904138360.

The spelling of 66425408 in words is "sixty-six million, four hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 134 224 268 448 469 536 938 1072 1876 2144 2213 3752 4288 4426 7504 8852 15008 15491 17704 30016 30982 35408 61964 70816 123928 141632 148271 247856 296542 495712 593084 991424 1037897 1186168 2075794 2372336 4151588 4744672 8303176 9489344 16606352 33212704 66425408