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50508 = 22322361
BaseRepresentation
bin1100010101001100
32120021200
430111030
53104013
61025500
7300153
oct142514
976250
1050508
1134a47
1225290
1319cb3
141459a
15ee73
hexc54c

50508 has 36 divisors (see below), whose sum is σ = 135408. Its totient is φ = 15840.

The previous prime is 50503. The next prime is 50513. The reversal of 50508 is 80505.

50508 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (50503) and next prime (50513).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (50503) 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 11 ways as a sum of consecutive naturals, for example, 798 + ... + 858.

250508 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 50508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67704).

50508 is an abundant number, since it is smaller than the sum of its proper divisors (84900).

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

50508 is a wasteful number, since it uses less digits than its factorization.

50508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 50508 is about 224.7398496039. The cubic root of 50508 is about 36.9646606817.

The spelling of 50508 in words is "fifty thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 61 69 92 122 138 183 207 244 276 366 414 549 732 828 1098 1403 2196 2806 4209 5612 8418 12627 16836 25254 50508