Search a number
-
+
50525856 = 2534101193
BaseRepresentation
bin1100000010111…
…1011010100000
310112001222110000
43000233122200
5100413311411
65002540000
71152314463
oct300573240
9115058400
1050525856
112657a907
1214b07600
13a610874
1469d32da
154680956
hex302f6a0

50525856 has 120 divisors (see below), whose sum is σ = 150843924. Its totient is φ = 16588800.

The previous prime is 50525837. The next prime is 50525857. The reversal of 50525856 is 65852505.

50525856 is a `hidden beast` number, since 50 + 525 + 85 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49280400 + 1245456 = 7020^2 + 1116^2 .

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 50525856.

It is not an unprimeable number, because it can be changed into a prime (50525857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 261696 + ... + 261888.

Almost surely, 250525856 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 50525856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75421962).

50525856 is an abundant number, since it is smaller than the sum of its proper divisors (100318068).

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

50525856 is a wasteful number, since it uses less digits than its factorization.

50525856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 50525856 is about 7108.1541907868. The cubic root of 50525856 is about 369.6901618459.

The spelling of 50525856 in words is "fifty million, five hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 101 108 144 162 193 202 216 288 303 324 386 404 432 579 606 648 772 808 864 909 1158 1212 1296 1544 1616 1737 1818 2316 2424 2592 2727 3088 3232 3474 3636 4632 4848 5211 5454 6176 6948 7272 8181 9264 9696 10422 10908 13896 14544 15633 16362 18528 19493 20844 21816 27792 29088 31266 32724 38986 41688 43632 55584 58479 62532 65448 77972 83376 87264 116958 125064 130896 155944 166752 175437 233916 250128 261792 311888 350874 467832 500256 526311 623776 701748 935664 1052622 1403496 1578933 1871328 2105244 2806992 3157866 4210488 5613984 6315732 8420976 12631464 16841952 25262928 50525856