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450045 = 32573137
BaseRepresentation
bin1101101110111111101
3211212100100
41231313331
5103400140
613351313
73553041
oct1556775
9755310
10450045
11288142
12198539
13129acb
14ba021
158d530
hex6ddfd

450045 has 24 divisors (see below), whose sum is σ = 796536. Its totient is φ = 235008.

The previous prime is 450029. The next prime is 450067. The reversal of 450045 is 540054.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 68121 + 381924 = 261^2 + 618^2 .

It is not a de Polignac number, because 450045 - 24 = 450029 is a prime.

It is a Curzon number.

It is a nialpdrome in base 9.

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, 3217 + ... + 3353.

It is an arithmetic number, because the mean of its divisors is an integer number (33189).

2450045 is an apocalyptic number.

450045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

450045 is a deficient number, since it is larger than the sum of its proper divisors (346491).

450045 is a wasteful number, since it uses less digits than its factorization.

450045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 450045 is about 670.8539334311. The cubic root of 450045 is about 76.6334975190.

Adding to 450045 its reverse (540054), we get a palindrome (990099).

Subtracting 450045 from its reverse (540054), we obtain a palindrome (90009).

It can be divided in two parts, 4500 and 45, that multiplied together give a square (202500 = 4502).

The spelling of 450045 in words is "four hundred fifty thousand, forty-five".

Divisors: 1 3 5 9 15 45 73 137 219 365 411 657 685 1095 1233 2055 3285 6165 10001 30003 50005 90009 150015 450045