Search a number
-
+
450144420 = 223511682037
BaseRepresentation
bin11010110101001…
…010100010100100
31011101000201001120
4122311022202210
51410214110140
6112400053540
714104110255
oct3265124244
91141021046
10450144420
11211105190
121069042b0
137234a65b
1443ad8b2c
15297bb1d0
hex1ad4a8a4

450144420 has 48 divisors (see below), whose sum is σ = 1374988608. Its totient is φ = 109125760.

The previous prime is 450144403. The next prime is 450144463. The reversal of 450144420 is 24441054.

It is a happy number.

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, 340359 + ... + 341678.

It is an arithmetic number, because the mean of its divisors is an integer number (28645596).

Almost surely, 2450144420 is an apocalyptic number.

It is an amenable number.

450144420 is an abundant number, since it is smaller than the sum of its proper divisors (924844188).

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

450144420 is a wasteful number, since it uses less digits than its factorization.

450144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682060 (or 682058 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 450144420 is about 21216.6071745696. The cubic root of 450144420 is about 766.3914017055.

Adding to 450144420 its reverse (24441054), we get a palindrome (474585474).

The spelling of 450144420 in words is "four hundred fifty million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 682037 1364074 2046111 2728148 3410185 4092222 6820370 7502407 8184444 10230555 13640740 15004814 20461110 22507221 30009628 37512035 40922220 45014442 75024070 90028884 112536105 150048140 225072210 450144420