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50358 = 23711109
BaseRepresentation
bin1100010010110110
32120002010
430102312
53102413
61025050
7266550
oct142266
976063
1050358
1134920
1225186
1319bc9
14144d0
15edc3
hexc4b6

50358 has 32 divisors (see below), whose sum is σ = 126720. Its totient is φ = 12960.

The previous prime is 50341. The next prime is 50359. The reversal of 50358 is 85305.

It can be divided in two parts, 503 and 58, that added together give a triangular number (561 = T33).

50358 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 is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408 + ... + 516.

It is an arithmetic number, because the mean of its divisors is an integer number (3960).

250358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63360).

50358 is an abundant number, since it is smaller than the sum of its proper divisors (76362).

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

50358 is a wasteful number, since it uses less digits than its factorization.

50358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 50358 is about 224.4058822758. The cubic root of 50358 is about 36.9280315200.

The spelling of 50358 in words is "fifty thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 109 154 218 231 327 462 654 763 1199 1526 2289 2398 3597 4578 7194 8393 16786 25179 50358