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66248361 = 352271201
BaseRepresentation
bin1111110010110…
…1111010101001
311121122202200000
43330231322221
5113424421421
610323533213
71433046624
oct374557251
9147582600
1066248361
1134439413
121a22a209
131095701a
148b26dbb
155c39226
hex3f2dea9

66248361 has 24 divisors (see below), whose sum is σ = 99756384. Its totient is φ = 43934400.

The previous prime is 66248341. The next prime is 66248387. The reversal of 66248361 is 16384266.

It is not a de Polignac number, because 66248361 - 26 = 66248297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66248311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54561 + ... + 55761.

It is an arithmetic number, because the mean of its divisors is an integer number (4156516).

Almost surely, 266248361 is an apocalyptic number.

It is an amenable number.

66248361 is a deficient number, since it is larger than the sum of its proper divisors (33508023).

66248361 is a wasteful number, since it uses less digits than its factorization.

66248361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1431 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 66248361 is about 8139.3096144575. The cubic root of 66248361 is about 404.6302798731.

The spelling of 66248361 in words is "sixty-six million, two hundred forty-eight thousand, three hundred sixty-one".

Divisors: 1 3 9 27 81 227 243 681 1201 2043 3603 6129 10809 18387 32427 55161 97281 272627 291843 817881 2453643 7360929 22082787 66248361