Search a number
-
+
45243045 = 3252937937
BaseRepresentation
bin1010110010010…
…1101010100101
310011010120210100
42230211222211
543040234140
64253414313
71056362631
oct254455245
9104116710
1045243045
11235a1851
121319a399
1394b1143
146019dc1
153e8a530
hex2b25aa5

45243045 has 48 divisors (see below), whose sum is σ = 83406960. Its totient is φ = 22643712.

The previous prime is 45243041. The next prime is 45243071. The reversal of 45243045 is 54034254.

45243045 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 527076 + 44715969 = 726^2 + 6687^2 .

It is not a de Polignac number, because 45243045 - 22 = 45243041 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45243041) 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 47 ways as a sum of consecutive naturals, for example, 47817 + ... + 48753.

It is an arithmetic number, because the mean of its divisors is an integer number (1737645).

Almost surely, 245243045 is an apocalyptic number.

45243045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45243045 is a deficient number, since it is larger than the sum of its proper divisors (38163915).

45243045 is a wasteful number, since it uses less digits than its factorization.

45243045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 45243045 is about 6726.2950425922. The cubic root of 45243045 is about 356.3285403934.

Adding to 45243045 its reverse (54034254), we get a palindrome (99277299).

It can be divided in two parts, 4524 and 3045, that added together give a square (7569 = 872).

The spelling of 45243045 in words is "forty-five million, two hundred forty-three thousand, forty-five".

Divisors: 1 3 5 9 15 29 37 45 87 111 145 185 261 333 435 555 937 1073 1305 1665 2811 3219 4685 5365 8433 9657 14055 16095 27173 34669 42165 48285 81519 104007 135865 173345 244557 312021 407595 520035 1005401 1222785 1560105 3016203 5027005 9048609 15081015 45243045