Search a number
-
+
45411444 = 223213195107
BaseRepresentation
bin1010110100111…
…0110001110100
310011110010210100
42231032301310
543111131234
64301154100
71060663611
oct255166164
9104403710
1045411444
11236a7321
121325b930
13953c9a0
146061508
153ec0399
hex2b4ec74

45411444 has 72 divisors (see below), whose sum is σ = 130151840. Its totient is φ = 13234752.

The previous prime is 45411433. The next prime is 45411451. The reversal of 45411444 is 44411454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6339 + ... + 11445.

Almost surely, 245411444 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 45411444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65075920).

45411444 is an abundant number, since it is smaller than the sum of its proper divisors (84740396).

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

45411444 is a wasteful number, since it uses less digits than its factorization.

45411444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5149 (or 5144 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 45411444 is about 6738.8013770996. The cubic root of 45411444 is about 356.7700894745.

Adding to 45411444 its reverse (44411454), we get a palindrome (89822898).

The spelling of 45411444 in words is "forty-five million, four hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 5107 8892 10214 15321 20428 30642 45963 61284 66391 91926 97033 132782 183852 194066 199173 265564 291099 388132 398346 582198 597519 796692 873297 1164396 1195038 1261429 1746594 2390076 2522858 3493188 3784287 5045716 7568574 11352861 15137148 22705722 45411444