Search a number
-
+
65561742 = 23219533617
BaseRepresentation
bin1111101000011…
…0010010001110
311120100212210200
43322012102032
5113240433432
610301114330
71424160051
oct372062216
9146325720
1065561742
113400a564
1219b589a6
131077663c
1489c8a98
155b50a7c
hex3e8648e

65561742 has 48 divisors (see below), whose sum is σ = 152390160. Its totient is φ = 20307456.

The previous prime is 65561737. The next prime is 65561759. The reversal of 65561742 is 24716556.

It is a happy number.

65561742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 65561697 and 65561706.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16318 + ... + 19934.

It is an arithmetic number, because the mean of its divisors is an integer number (3174795).

Almost surely, 265561742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65561742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76195080).

65561742 is an abundant number, since it is smaller than the sum of its proper divisors (86828418).

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

65561742 is a wasteful number, since it uses less digits than its factorization.

65561742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3694 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 65561742 is about 8097.0205631454. The cubic root of 65561742 is about 403.2275169594.

The spelling of 65561742 in words is "sixty-five million, five hundred sixty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 53 57 106 114 159 171 318 342 477 954 1007 2014 3021 3617 6042 7234 9063 10851 18126 21702 32553 65106 68723 137446 191701 206169 383402 412338 575103 618507 1150206 1237014 1725309 3450618 3642319 7284638 10926957 21853914 32780871 65561742