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50920 = 2351967
BaseRepresentation
bin1100011011101000
32120211221
430123220
53112140
61031424
7301312
oct143350
976757
1050920
1135291
1225574
131a23c
14147b2
151014a
hexc6e8

50920 has 32 divisors (see below), whose sum is σ = 122400. Its totient is φ = 19008.

The previous prime is 50909. The next prime is 50923. The reversal of 50920 is 2905.

50920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 50894 and 50903.

It is not an unprimeable number, because it can be changed into a prime (50923) by changing a digit.

50920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 727 + ... + 793.

It is an arithmetic number, because the mean of its divisors is an integer number (3825).

250920 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 50920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61200).

50920 is an abundant number, since it is smaller than the sum of its proper divisors (71480).

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

50920 is a wasteful number, since it uses less digits than its factorization.

50920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 50920 is about 225.6546033211. The cubic root of 50920 is about 37.0648970625.

It can be divided in two parts, 509 and 20, that added together give a square (529 = 232).

The spelling of 50920 in words is "fifty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 67 76 95 134 152 190 268 335 380 536 670 760 1273 1340 2546 2680 5092 6365 10184 12730 25460 50920