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50868 = 2234157
BaseRepresentation
bin1100011010110100
32120210000
430122310
53111433
61031300
7301206
oct143264
976700
1050868
1135244
1225530
131a1cc
1414776
1510113
hexc6b4

50868 has 30 divisors (see below), whose sum is σ = 133826. Its totient is φ = 16848.

The previous prime is 50867. The next prime is 50873. The reversal of 50868 is 86805.

50868 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 39204 + 11664 = 198^2 + 108^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50867) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 246 + ... + 402.

250868 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 50868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66913).

50868 is an abundant number, since it is smaller than the sum of its proper divisors (82958).

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

50868 is a wasteful number, since it uses less digits than its factorization.

50868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 50868 is about 225.5393535506. The cubic root of 50868 is about 37.0522757539.

Subtracting 50868 from its reverse (86805), we obtain a cube (35937 = 333).

It can be divided in two parts, 508 and 68, that added together give a square (576 = 242).

The spelling of 50868 in words is "fifty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 314 324 471 628 942 1413 1884 2826 4239 5652 8478 12717 16956 25434 50868