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66403008 = 2632743383
BaseRepresentation
bin1111110101001…
…1101011000000
311121221121210200
43331103223000
5113444344013
610331125200
71434262530
oct375235300
9147847720
1066403008
1134534621
121a2a3800
13109ac529
148b674c0
155c69e73
hex3f53ac0

66403008 has 168 divisors, whose sum is σ = 223162368. Its totient is φ = 18482688.

The previous prime is 66402991. The next prime is 66403009. The reversal of 66403008 is 80030466.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66403009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173185 + ... + 173567.

Almost surely, 266403008 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 66403008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111581184).

66403008 is an abundant number, since it is smaller than the sum of its proper divisors (156759360).

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

66403008 is a wasteful number, since it uses less digits than its factorization.

66403008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66403008 is about 8148.8040840359. The cubic root of 66403008 is about 404.9448850468.

The spelling of 66403008 in words is "sixty-six million, four hundred three thousand, eight".