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47320 = 2357132
BaseRepresentation
bin1011100011011000
32101220121
423203120
53003240
61003024
7254650
oct134330
971817
1047320
1132609
1223474
1318700
1413360
15e04a
hexb8d8

47320 has 48 divisors (see below), whose sum is σ = 131760. Its totient is φ = 14976.

The previous prime is 47317. The next prime is 47339. The reversal of 47320 is 2374.

47320 = 492 + 502 + ... + 632.

47320 is nontrivially palindromic in base 9.

47320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×473203 = 317874333504000, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47294 and 47303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3634 + ... + 3646.

It is an arithmetic number, because the mean of its divisors is an integer number (2745).

247320 is an apocalyptic number.

47320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65880).

47320 is an abundant number, since it is smaller than the sum of its proper divisors (84440).

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

47320 is a wasteful number, since it uses less digits than its factorization.

47320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 47320 is about 217.5316068989. The cubic root of 47320 is about 36.1699780593.

Adding to 47320 its reverse (2374), we get a palindrome (49694).

The spelling of 47320 in words is "forty-seven thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 169 182 260 280 338 364 455 520 676 728 845 910 1183 1352 1690 1820 2366 3380 3640 4732 5915 6760 9464 11830 23660 47320