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47380 = 22523103
BaseRepresentation
bin1011100100010100
32101222211
423210110
53004010
61003204
7255064
oct134424
971884
1047380
1132663
1223504
1318748
14133a4
15e08a
hexb914

47380 has 24 divisors (see below), whose sum is σ = 104832. Its totient is φ = 17952.

The previous prime is 47363. The next prime is 47381. The reversal of 47380 is 8374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47381) 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 7 ways as a sum of consecutive naturals, for example, 409 + ... + 511.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

247380 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 47380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52416).

47380 is an abundant number, since it is smaller than the sum of its proper divisors (57452).

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

47380 is a wasteful number, since it uses less digits than its factorization.

47380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 47380 is about 217.6694742034. The cubic root of 47380 is about 36.1852589982.

The spelling of 47380 in words is "forty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 103 115 206 230 412 460 515 1030 2060 2369 4738 9476 11845 23690 47380