Search a number
-
+
50483638224 = 24327320172381
BaseRepresentation
bin101111000001000011…
…110010111111010000
311211022021212112112200
4233001003302333100
51311342302410344
635105235323200
73435013562505
oct570103627720
9154267775480
1050483638224
111a456774668
12994aa50500
1349b70166a6
14262ca674ac
1514a707a069
hexbc10f2fd0

50483638224 has 120 divisors (see below), whose sum is σ = 143350656072. Its totient is φ = 16582164480.

The previous prime is 50483638223. The next prime is 50483638253. The reversal of 50483638224 is 42283638405.

50483638224 is a `hidden beast` number, since 5 + 0 + 4 + 8 + 3 + 638 + 2 + 2 + 4 = 666.

50483638224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2837479824 + 47646158400 = 53268^2 + 218280^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 50483638224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50483638223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21201514 + ... + 21203894.

Almost surely, 250483638224 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 50483638224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71675328036).

50483638224 is an abundant number, since it is smaller than the sum of its proper divisors (92867017848).

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

50483638224 is a wasteful number, since it uses less digits than its factorization.

50483638224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4485 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 50483638224 in words is "fifty billion, four hundred eighty-three million, six hundred thirty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2017 2381 2628 3504 4034 4762 5256 6051 7143 8068 9524 10512 12102 14286 16136 18153 19048 21429 24204 28572 32272 36306 38096 42858 48408 57144 72612 85716 96816 114288 145224 147241 171432 173813 290448 294482 342864 347626 441723 521439 588964 695252 883446 1042878 1177928 1325169 1390504 1564317 1766892 2085756 2355856 2650338 2781008 3128634 3533784 4171512 4802477 5300676 6257268 7067568 8343024 9604954 10601352 12514536 14407431 19209908 21202704 25029072 28814862 38419816 43222293 57629724 76839632 86444586 115259448 172889172 230518896 345778344 350580821 691556688 701161642 1051742463 1402323284 2103484926 2804646568 3155227389 4206969852 5609293136 6310454778 8413939704 12620909556 16827879408 25241819112 50483638224