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66401824 = 256730971
BaseRepresentation
bin1111110101001…
…1011000100000
311121221120011211
43331103120200
5113444324244
610331115504
71434256216
oct375233040
9147846154
1066401824
1134533745
121a2a2b94
13109abb28
148b66cb6
155c69934
hex3f53620

66401824 has 24 divisors (see below), whose sum is σ = 132684048. Its totient is φ = 32704320.

The previous prime is 66401767. The next prime is 66401857. The reversal of 66401824 is 42810466.

66401824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13342 + ... + 17629.

It is an arithmetic number, because the mean of its divisors is an integer number (5528502).

Almost surely, 266401824 is an apocalyptic number.

It is an amenable number.

66401824 is a deficient number, since it is larger than the sum of its proper divisors (66282224).

66401824 is a wasteful number, since it uses less digits than its factorization.

66401824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31048 (or 31040 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 66401824 is about 8148.7314350149. The cubic root of 66401824 is about 404.9424782402.

It can be divided in two parts, 6640 and 1824, that added together give a square (8464 = 922).

The spelling of 66401824 in words is "sixty-six million, four hundred one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 67 134 268 536 1072 2144 30971 61942 123884 247768 495536 991072 2075057 4150114 8300228 16600456 33200912 66401824