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66742848 = 2632115873
BaseRepresentation
bin1111111010011…
…0101001000000
311122120212222100
43332212221000
5114041232343
610342310400
71440206364
oct376465100
9148525870
1066742848
1134746987
121a428400
1310a9b113
148c152a4
155cd59d3
hex3fa6a40

66742848 has 42 divisors (see below), whose sum is σ = 191307974. Its totient is φ = 22247424.

The previous prime is 66742829. The next prime is 66742883. The reversal of 66742848 is 84824766.

66742848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 65415744 + 1327104 = 8088^2 + 1152^2 .

It is a super-2 number, since 2×667428482 = 8909215518302208, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 57361 + ... + 58512.

Almost surely, 266742848 is an apocalyptic number.

It is an amenable number.

66742848 is an abundant number, since it is smaller than the sum of its proper divisors (124565126).

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

66742848 is a wasteful number, since it uses less digits than its factorization.

66742848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115891 (or 115878 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 66742848 is about 8169.6296121672. The cubic root of 66742848 is about 405.6345243304.

The spelling of 66742848 in words is "sixty-six million, seven hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 115873 231746 347619 463492 695238 926984 1042857 1390476 1853968 2085714 2780952 3707936 4171428 5561904 7415872 8342856 11123808 16685712 22247616 33371424 66742848