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450321216 = 26315714939
BaseRepresentation
bin11010110101110…
…101101101000000
31011101100200120120
4122311311231000
51410240234331
6112403540240
714105444562
oct3265655500
91141320516
10450321216
11211215aa4
1210698a680
13723acc77
1443b43332
1529803796
hex1ad75b40

450321216 has 56 divisors (see below), whose sum is σ = 1199144160. Its totient is φ = 149140992.

The previous prime is 450321187. The next prime is 450321229. The reversal of 450321216 is 612123054.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22675 + ... + 37613.

Almost surely, 2450321216 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 450321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599572080).

450321216 is an abundant number, since it is smaller than the sum of its proper divisors (748822944).

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

450321216 is a wasteful number, since it uses less digits than its factorization.

450321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15111 (or 15101 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 450321216 is about 21220.7732187119. The cubic root of 450321216 is about 766.4917229900.

The spelling of 450321216 in words is "four hundred fifty million, three hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 157 192 314 471 628 942 1256 1884 2512 3768 5024 7536 10048 14939 15072 29878 30144 44817 59756 89634 119512 179268 239024 358536 478048 717072 956096 1434144 2345423 2868288 4690846 7036269 9381692 14072538 18763384 28145076 37526768 56290152 75053536 112580304 150107072 225160608 450321216