Search a number
-
+
45366500 = 2253412213
BaseRepresentation
bin1010110100001…
…1110011100100
310011100212010202
42231003303210
543103212000
64300210032
71060415564
oct255036344
9104325122
1045366500
1123676583
1213239918
1395253aa
14604cda4
153eb1dd5
hex2b43ce4

45366500 has 48 divisors (see below), whose sum is σ = 101542896. Its totient is φ = 17696000.

The previous prime is 45366499. The next prime is 45366553. The reversal of 45366500 is 566354.

45366500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11888704 + 33477796 = 3448^2 + 5786^2 .

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 15 ways as a sum of consecutive naturals, for example, 19394 + ... + 21606.

It is an arithmetic number, because the mean of its divisors is an integer number (2115477).

Almost surely, 245366500 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 45366500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50771448).

45366500 is an abundant number, since it is smaller than the sum of its proper divisors (56176396).

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

45366500 is a wasteful number, since it uses less digits than its factorization.

45366500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 45366500 is about 6735.4658339272. The cubic root of 45366500 is about 356.6523514018.

The spelling of 45366500 in words is "forty-five million, three hundred sixty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 250 410 500 820 1025 2050 2213 4100 4426 5125 8852 10250 11065 20500 22130 44260 55325 90733 110650 181466 221300 276625 362932 453665 553250 907330 1106500 1814660 2268325 4536650 9073300 11341625 22683250 45366500