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50512 = 2471141
BaseRepresentation
bin1100010101010000
32120021211
430111100
53104022
61025504
7300160
oct142520
976254
1050512
1134a50
1225294
1319cb7
14145a0
15ee77
hexc550

50512 has 40 divisors (see below), whose sum is σ = 124992. Its totient is φ = 19200.

The previous prime is 50503. The next prime is 50513. The reversal of 50512 is 21505.

It is a nialpdrome in base 15 and base 16.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 50492 and 50501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50513) by changing a digit.

50512 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, 1212 + ... + 1252.

250512 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 50512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496).

50512 is an abundant number, since it is smaller than the sum of its proper divisors (74480).

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

50512 is a wasteful number, since it uses less digits than its factorization.

50512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 50512 is about 224.7487486061. The cubic root of 50512 is about 36.9656364660.

Multiplying 50512 by its sum of digits (13), we get a palindrome (656656).

It can be divided in two parts, 50 and 512, that multiplied together give a square (25600 = 1602).

The spelling of 50512 in words is "fifty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 41 44 56 77 82 88 112 154 164 176 287 308 328 451 574 616 656 902 1148 1232 1804 2296 3157 3608 4592 6314 7216 12628 25256 50512