Search a number
-
+
64502568 = 23341321931
BaseRepresentation
bin1111011000001…
…1101100101000
311111101001220000
43312003230220
5113003040233
610222303000
71412156064
oct366035450
9144331800
1064502568
1133456809
1219727a60
1310495500
1487d0aa4
1559e1d13
hex3d83b28

64502568 has 240 divisors, whose sum is σ = 212572800. Its totient is φ = 18195840.

The previous prime is 64502567. The next prime is 64502569. The reversal of 64502568 is 86520546.

64502568 is a `hidden beast` number, since 645 + 0 + 2 + 5 + 6 + 8 = 666.

64502568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64502567) and next prime (64502569).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64502563) 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 59 ways as a sum of consecutive naturals, for example, 2080713 + ... + 2080743.

It is an arithmetic number, because the mean of its divisors is an integer number (885720).

Almost surely, 264502568 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 64502568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106286400).

64502568 is an abundant number, since it is smaller than the sum of its proper divisors (148070232).

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

64502568 is a wasteful number, since it uses less digits than its factorization.

64502568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 64502568 is about 8031.3490772099. The cubic root of 64502568 is about 401.0442879508.

The spelling of 64502568 in words is "sixty-four million, five hundred two thousand, five hundred sixty-eight".