Search a number
-
+
450950256 = 243219164821
BaseRepresentation
bin11010111000001…
…111010001110000
31011102112122110100
4122320033101300
51410420402011
6112425232400
714114004531
oct3270172160
91142478410
10450950256
11211605669
12107032700
1372570393
1443c68688
15298c9d56
hex1ae0f470

450950256 has 60 divisors (see below), whose sum is σ = 1328465320. Its totient is φ = 142404480.

The previous prime is 450950251. The next prime is 450950257. The reversal of 450950256 is 652059054.

It is a super-2 number, since 2×4509502562 = 406712266772931072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 450950256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450950251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79675 + ... + 85146.

Almost surely, 2450950256 is an apocalyptic number.

It is an amenable number.

450950256 is an abundant number, since it is smaller than the sum of its proper divisors (877515064).

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

450950256 is a wasteful number, since it uses less digits than its factorization.

450950256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164854 (or 164845 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 450950256 is about 21235.5893725604. The cubic root of 450950256 is about 766.8484532589.

The spelling of 450950256 in words is "four hundred fifty million, nine hundred fifty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 164821 329642 494463 659284 988926 1318568 1483389 1977852 2637136 2966778 3131599 3955704 5933556 6263198 7911408 9394797 11867112 12526396 18789594 23734224 25052792 28184391 37579188 50105584 56368782 75158376 112737564 150316752 225475128 450950256