Search a number
-
+
66441726 = 23213299791
BaseRepresentation
bin1111110101110…
…1000111111110
311122000120220200
43331131013332
5114002113401
610332024330
71434513441
oct375350776
9148016820
1066441726
113456071a
121a3020a6
13109c4040
148b77658
155c76686
hex3f5d1fe

66441726 has 48 divisors (see below), whose sum is σ = 160392960. Its totient is φ = 19736640.

The previous prime is 66441719. The next prime is 66441731. The reversal of 66441726 is 62714466.

66441726 is a `hidden beast` number, since 6 + 644 + 1 + 7 + 2 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1891 + ... + 11681.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 266441726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66441726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

66441726 is an abundant number, since it is smaller than the sum of its proper divisors (93951234).

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

66441726 is a wasteful number, since it uses less digits than its factorization.

66441726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9841 (or 9838 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 66441726 is about 8151.1794238625. The cubic root of 66441726 is about 405.0235743022.

The spelling of 66441726 in words is "sixty-six million, four hundred forty-one thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3393 6786 9791 19582 29373 58746 88119 127283 176238 254566 283939 381849 567878 763698 851817 1145547 1703634 2291094 2555451 3691207 5110902 7382414 11073621 22147242 33220863 66441726