Search a number
-
+
65548068 = 22323534481
BaseRepresentation
bin1111101000001…
…0111100100100
311120100012001020
43322002330210
5113240014233
610300531140
71424102145
oct372027444
9146305036
1065548068
1134000263
1219b50ab0
1310770351
1489c3acc
155b4b9b3
hex3e82f24

65548068 has 48 divisors (see below), whose sum is σ = 162642816. Its totient is φ = 20500480.

The previous prime is 65548057. The next prime is 65548069. The reversal of 65548068 is 86084556.

65548068 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 (65548069) 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, 12388 + ... + 16868.

It is an arithmetic number, because the mean of its divisors is an integer number (3388392).

Almost surely, 265548068 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 65548068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81321408).

65548068 is an abundant number, since it is smaller than the sum of its proper divisors (97094748).

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

65548068 is a wasteful number, since it uses less digits than its factorization.

65548068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 65548068 is about 8096.1761344477. The cubic root of 65548068 is about 403.1994817249.

The spelling of 65548068 in words is "sixty-five million, five hundred forty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 53 69 92 106 138 159 212 276 318 636 1219 2438 3657 4481 4876 7314 8962 13443 14628 17924 26886 53772 103063 206126 237493 309189 412252 474986 618378 712479 949972 1236756 1424958 2849916 5462339 10924678 16387017 21849356 32774034 65548068