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51066340 = 22513197997
BaseRepresentation
bin1100001011001…
…1010111100100
310120002102211221
43002303113210
5101033110330
65022310124
71160025313
oct302632744
9116072757
1051066340
1126909996
1215128344
13a76c890
146ad427a
15473ab7a
hex30b35e4

51066340 has 48 divisors (see below), whose sum is σ = 116191152. Its totient is φ = 18740736.

The previous prime is 51066293. The next prime is 51066341. The reversal of 51066340 is 4366015.

51066340 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 8 ways, for example, as 3290596 + 47775744 = 1814^2 + 6912^2 .

It is not an unprimeable number, because it can be changed into a prime (51066341) 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 15 ways as a sum of consecutive naturals, for example, 50722 + ... + 51718.

It is an arithmetic number, because the mean of its divisors is an integer number (2420649).

Almost surely, 251066340 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 51066340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58095576).

51066340 is an abundant number, since it is smaller than the sum of its proper divisors (65124812).

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

51066340 is a wasteful number, since it uses less digits than its factorization.

51066340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 51066340 is about 7146.0716481155. The cubic root of 51066340 is about 371.0037028326.

The spelling of 51066340 in words is "fifty-one million, sixty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 197 260 394 788 985 997 1970 1994 2561 3940 3988 4985 5122 9970 10244 12805 12961 19940 25610 25922 51220 51844 64805 129610 196409 259220 392818 785636 982045 1964090 2553317 3928180 5106634 10213268 12766585 25533170 51066340