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47064 = 2333753
BaseRepresentation
bin1011011111011000
32101120010
423133120
53001224
61001520
7254133
oct133730
971503
1047064
11323a6
12232a0
1318564
141321a
15de29
hexb7d8

47064 has 32 divisors (see below), whose sum is σ = 123120. Its totient is φ = 14976.

The previous prime is 47059. The next prime is 47087. The reversal of 47064 is 46074.

It is a self number, because there is not a number n which added to its sum of digits gives 47064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 862 + ... + 914.

247064 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 47064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61560).

47064 is an abundant number, since it is smaller than the sum of its proper divisors (76056).

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

47064 is a wasteful number, since it uses less digits than its factorization.

47064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 47064 is about 216.9423886657. The cubic root of 47064 is about 36.1046338591.

Subtracting from 47064 its reverse (46074), we obtain a triangular number (990 = T44).

The spelling of 47064 in words is "forty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 37 53 74 106 111 148 159 212 222 296 318 424 444 636 888 1272 1961 3922 5883 7844 11766 15688 23532 47064