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66427648 = 287191951
BaseRepresentation
bin1111110101100…
…1101100000000
311121222212121021
43331121230000
5114001141043
610331435224
71434424420
oct375315400
9147885537
1066427648
1134551091
121a2b5b14
13109ba801
148b72480
155c723ed
hex3f59b00

66427648 has 72 divisors (see below), whose sum is σ = 159595520. Its totient is φ = 26956800.

The previous prime is 66427643. The next prime is 66427649. The reversal of 66427648 is 84672466.

66427648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66427643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 33073 + ... + 35023.

Almost surely, 266427648 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 66427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79797760).

66427648 is an abundant number, since it is smaller than the sum of its proper divisors (93167872).

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

66427648 is a wasteful number, since it uses less digits than its factorization.

66427648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1979 counting only the distinct ones).

The product of its digits is 387072, while the sum is 43.

The square root of 66427648 is about 8150.3158221016. The cubic root of 66427648 is about 404.9949661519.

The spelling of 66427648 in words is "sixty-six million, four hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 532 608 896 1064 1216 1792 1951 2128 2432 3902 4256 4864 7804 8512 13657 15608 17024 27314 31216 34048 37069 54628 62432 74138 109256 124864 148276 218512 249728 259483 296552 437024 499456 518966 593104 874048 1037932 1186208 1748096 2075864 2372416 3496192 4151728 4744832 8303456 9489664 16606912 33213824 66427648