Search a number
-
+
43040646 = 235118397
BaseRepresentation
bin1010010000101…
…1111110000110
32222222200200000
42210023332012
542004300041
64134302130
71031560635
oct244137606
988880600
1043040646
1122328090
12124b7946
138bbc84c
145a0551c
153ba2bb6
hex290bf86

43040646 has 96 divisors (see below), whose sum is σ = 107872128. Its totient is φ = 12752640.

The previous prime is 43040609. The next prime is 43040653. The reversal of 43040646 is 64604034.

It is a happy number.

43040646 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 443670 + ... + 443766.

It is an arithmetic number, because the mean of its divisors is an integer number (1123668).

Almost surely, 243040646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43040646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53936064).

43040646 is an abundant number, since it is smaller than the sum of its proper divisors (64831482).

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

43040646 is a wasteful number, since it uses less digits than its factorization.

43040646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 43040646 is about 6560.5370207019. The cubic root of 43040646 is about 350.4501581885.

The spelling of 43040646 in words is "forty-three million, forty thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 83 97 99 162 166 194 198 243 249 291 297 486 498 582 594 747 873 891 913 1067 1494 1746 1782 1826 2134 2241 2619 2673 2739 3201 4482 5238 5346 5478 6402 6723 7857 8051 8217 9603 13446 15714 16102 16434 19206 20169 23571 24153 24651 28809 40338 47142 48306 49302 57618 72459 73953 86427 88561 144918 147906 172854 177122 217377 221859 259281 265683 434754 443718 518562 531366 652131 797049 1304262 1594098 1956393 2391147 3912786 4782294 7173441 14346882 21520323 43040646