Search a number
-
+
45941412 = 223111759347
BaseRepresentation
bin1010111101000…
…0001010100100
310012110001202210
42233100022210
543230111122
64320403420
71065331656
oct257201244
9105401683
1045941412
1123a29510
1213476570
139696c8a
14615c6d6
15407740c
hex2bd02a4

45941412 has 96 divisors (see below), whose sum is σ = 126282240. Its totient is φ = 12843520.

The previous prime is 45941381. The next prime is 45941417. The reversal of 45941412 is 21414954.

It is a super-2 number, since 2×459414122 = 4221226673107488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45941412.

It is not an unprimeable number, because it can be changed into a prime (45941417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132223 + ... + 132569.

It is an arithmetic number, because the mean of its divisors is an integer number (1315440).

Almost surely, 245941412 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 45941412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63141120).

45941412 is an abundant number, since it is smaller than the sum of its proper divisors (80340828).

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

45941412 is a wasteful number, since it uses less digits than its factorization.

45941412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 439 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 45941412 is about 6778.0094423068. The cubic root of 45941412 is about 358.1526039168.

It can be divided in two parts, 4594 and 1412, that added together give a palindrome (6006).

The spelling of 45941412 in words is "forty-five million, nine hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 59 66 68 102 118 132 177 187 204 236 347 354 374 561 649 694 708 748 1003 1041 1122 1298 1388 1947 2006 2082 2244 2596 3009 3817 3894 4012 4164 5899 6018 7634 7788 11033 11451 11798 12036 15268 17697 20473 22066 22902 23596 33099 35394 40946 44132 45804 61419 64889 66198 70788 81892 122838 129778 132396 194667 225203 245676 259556 348041 389334 450406 675609 696082 778668 900812 1044123 1351218 1392164 2088246 2702436 3828451 4176492 7656902 11485353 15313804 22970706 45941412