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47852 = 2271709
BaseRepresentation
bin1011101011101100
32102122022
423223230
53012402
61005312
7256340
oct135354
972568
1047852
1132a52
1223838
1318a1c
1413620
15e2a2
hexbaec

47852 has 12 divisors (see below), whose sum is σ = 95760. Its totient is φ = 20496.

The previous prime is 47843. The next prime is 47857. The reversal of 47852 is 25874.

47852 is an admirable number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47852.

It is not an unprimeable number, because it can be changed into a prime (47857) by changing a digit.

47852 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 3 ways as a sum of consecutive naturals, for example, 827 + ... + 882.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

247852 is an apocalyptic number.

It is an amenable number.

47852 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47880).

47852 is a wasteful number, since it uses less digits than its factorization.

47852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1718 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 47852 is about 218.7509999977. The cubic root of 47852 is about 36.3050214780.

The spelling of 47852 in words is "forty-seven thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 14 28 1709 3418 6836 11963 23926 47852