Search a number
-
+
50388 = 223131719
BaseRepresentation
bin1100010011010100
32120010020
430103110
53103023
61025140
7266622
oct142324
976106
1050388
1134948
12251b0
1319c20
1414512
15ede3
hexc4d4

50388 has 48 divisors (see below), whose sum is σ = 141120. Its totient is φ = 13824.

The previous prime is 50387. The next prime is 50411. The reversal of 50388 is 88305.

50388 is a nontrivial binomial coefficient, being equal to C(19, 7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2643 + ... + 2661.

It is an arithmetic number, because the mean of its divisors is an integer number (2940).

250388 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 50388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560).

50388 is an abundant number, since it is smaller than the sum of its proper divisors (90732).

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

50388 is a wasteful number, since it uses less digits than its factorization.

50388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 50388 is about 224.4727154912. The cubic root of 50388 is about 36.9353631655.

It can be divided in two parts, 5038 and 8, that multiplied together give a palindrome (40304).

The spelling of 50388 in words is "fifty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 17 19 26 34 38 39 51 52 57 68 76 78 102 114 156 204 221 228 247 323 442 494 646 663 741 884 969 988 1292 1326 1482 1938 2652 2964 3876 4199 8398 12597 16796 25194 50388