Search a number
-
+
45007314 = 23111921889
BaseRepresentation
bin1010101110110…
…0000111010010
310010200121102120
42223230013102
543010213224
64244355110
71054361442
oct253540722
9103617376
1045007314
1123450730
12130a5a96
13942aa61
145d98122
153e40779
hex2aec1d2

45007314 has 48 divisors (see below), whose sum is σ = 103692960. Its totient is φ = 12913920.

The previous prime is 45007309. The next prime is 45007349. The reversal of 45007314 is 41370054.

45007314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 22882 + ... + 24770.

It is an arithmetic number, because the mean of its divisors is an integer number (2160270).

Almost surely, 245007314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45007314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51846480).

45007314 is an abundant number, since it is smaller than the sum of its proper divisors (58685646).

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

45007314 is a wasteful number, since it uses less digits than its factorization.

45007314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 45007314 is about 6708.7490637227. The cubic root of 45007314 is about 355.7085998626.

Adding to 45007314 its reverse (41370054), we get a palindrome (86377368).

The spelling of 45007314 in words is "forty-five million, seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 361 418 627 722 1083 1254 1889 2166 3778 3971 5667 7942 11334 11913 20779 23826 35891 41558 62337 71782 107673 124674 215346 394801 681929 789602 1184403 1363858 2045787 2368806 4091574 7501219 15002438 22503657 45007314