Search a number
-
+
450408056 = 237109113653
BaseRepresentation
bin11010110110001…
…010111001111000
31011101112002200212
4122312022321320
51410301024211
6112405450252
714106256010
oct3266127170
91141462625
10450408056
1121127526a
12106a10988
1372410657
1443b66c40
152981e38b
hex1ad8ae78

450408056 has 64 divisors (see below), whose sum is σ = 984139200. Its totient is φ = 189278208.

The previous prime is 450407981. The next prime is 450408061. The reversal of 450408056 is 650804054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689426 + ... + 690078.

It is an arithmetic number, because the mean of its divisors is an integer number (15377175).

Almost surely, 2450408056 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 450408056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492069600).

450408056 is an abundant number, since it is smaller than the sum of its proper divisors (533731144).

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

450408056 is a wasteful number, since it uses less digits than its factorization.

450408056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 450408056 is about 21222.8192283683. The cubic root of 450408056 is about 766.5409899434.

The spelling of 450408056 in words is "four hundred fifty million, four hundred eight thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 56 109 113 218 226 436 452 653 763 791 872 904 1306 1526 1582 2612 3052 3164 4571 5224 6104 6328 9142 12317 18284 24634 36568 49268 71177 73789 86219 98536 142354 147578 172438 284708 295156 344876 498239 516523 569416 590312 689752 996478 1033046 1992956 2066092 3985912 4132184 8043001 16086002 32172004 56301007 64344008 112602014 225204028 450408056