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50336 = 2511213
BaseRepresentation
bin1100010010100000
32120001022
430102200
53102321
61025012
7266516
oct142240
976038
1050336
1134900
1225168
1319bb0
14144b6
15edab
hexc4a0

50336 has 36 divisors (see below), whose sum is σ = 117306. Its totient is φ = 21120.

The previous prime is 50333. The next prime is 50341. The reversal of 50336 is 63305.

50336 = 113 + 123 + ... + 213.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 1936 = 220^2 + 44^2 .

It is not an unprimeable number, because it can be changed into a prime (50333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3866 + ... + 3878.

250336 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 50336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58653).

50336 is an abundant number, since it is smaller than the sum of its proper divisors (66970).

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

50336 is a wasteful number, since it uses less digits than its factorization.

50336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 50336 is about 224.3568585981. The cubic root of 50336 is about 36.9226531290.

The spelling of 50336 in words is "fifty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 121 143 176 208 242 286 352 416 484 572 968 1144 1573 1936 2288 3146 3872 4576 6292 12584 25168 50336