Search a number
-
+
45512844 = 223131671747
BaseRepresentation
bin1010110110011…
…1100010001100
310011122021212220
42231213202030
543122402334
64303255340
71061565336
oct255474214
9104567786
1045512844
1123766523
12132aa550
139576ba0
14608a456
153ee0449
hex2b6788c

45512844 has 48 divisors (see below), whose sum is σ = 115116288. Its totient is φ = 13912128.

The previous prime is 45512843. The next prime is 45512869. The reversal of 45512844 is 44821554.

It is a happy number.

45512844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45512843) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 25179 + ... + 26925.

It is an arithmetic number, because the mean of its divisors is an integer number (2398256).

Almost surely, 245512844 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 45512844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57558144).

45512844 is an abundant number, since it is smaller than the sum of its proper divisors (69603444).

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

45512844 is a wasteful number, since it uses less digits than its factorization.

45512844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1932 counting only the distinct ones).

The product of its digits is 25600, while the sum is 33.

The square root of 45512844 is about 6746.3207750595. The cubic root of 45512844 is about 357.0354381097.

The spelling of 45512844 in words is "forty-five million, five hundred twelve thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 167 334 501 668 1002 1747 2004 2171 3494 4342 5241 6513 6988 8684 10482 13026 20964 22711 26052 45422 68133 90844 136266 272532 291749 583498 875247 1166996 1750494 3500988 3792737 7585474 11378211 15170948 22756422 45512844