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47860 = 2252393
BaseRepresentation
bin1011101011110100
32102122121
423223310
53012420
61005324
7256351
oct135364
972577
1047860
1132a5a
1223844
1318a27
1413628
15e2aa
hexbaf4

47860 has 12 divisors (see below), whose sum is σ = 100548. Its totient is φ = 19136.

The previous prime is 47857. The next prime is 47869. The reversal of 47860 is 6874.

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 40804 = 84^2 + 202^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47869) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1177 + ... + 1216.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

247860 is an apocalyptic number.

It is an amenable number.

47860 is an abundant number, since it is smaller than the sum of its proper divisors (52688).

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 (50274).

47860 is a wasteful number, since it uses less digits than its factorization.

47860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 47860 is about 218.7692848642. The cubic root of 47860 is about 36.3070445490.

It can be divided in two parts, 478 and 60, that multiplied together give a triangular number (28680 = T239).

The spelling of 47860 in words is "forty-seven thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 2393 4786 9572 11965 23930 47860