Search a number
-
+
450422024 = 2313101137313
BaseRepresentation
bin11010110110001…
…110010100001000
31011101112210212012
4122312032110020
51410302001044
6112410035052
714106344513
oct3266162410
91141483765
10450422024
11211284808
12106a18a88
1372416b10
1443b6bd7a
152982359e
hex1ad8e508

450422024 has 64 divisors (see below), whose sum is σ = 928171440. Its totient is φ = 203673600.

The previous prime is 450422017. The next prime is 450422051. The reversal of 450422024 is 420224054.

450422024 = T80 + T81 + ... + T1392.

It can be written as a sum of positive squares in 8 ways, for example, as 132940900 + 317481124 = 11530^2 + 17818^2 .

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, 1438892 + ... + 1439204.

Almost surely, 2450422024 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 450422024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464085720).

450422024 is an abundant number, since it is smaller than the sum of its proper divisors (477749416).

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

450422024 is a wasteful number, since it uses less digits than its factorization.

450422024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 450422024 is about 21223.1483055648. The cubic root of 450422024 is about 766.5489138202.

Adding to 450422024 its reverse (420224054), we get a palindrome (870646078).

The spelling of 450422024 in words is "four hundred fifty million, four hundred twenty-two thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 101 104 137 202 274 313 404 548 626 808 1096 1252 1313 1781 2504 2626 3562 4069 5252 7124 8138 10504 13837 14248 16276 27674 31613 32552 42881 55348 63226 85762 110696 126452 171524 179881 252904 343048 359762 410969 557453 719524 821938 1114906 1439048 1643876 2229812 3287752 4330981 4459624 8661962 17323924 34647848 56302753 112605506 225211012 450422024