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47388 = 22311359
BaseRepresentation
bin1011100100011100
32102000010
423210130
53004023
61003220
7255105
oct134434
972003
1047388
1132670
1223510
1318753
14133ac
15e093
hexb91c

47388 has 24 divisors (see below), whose sum is σ = 120960. Its totient is φ = 14320.

The previous prime is 47387. The next prime is 47389. The reversal of 47388 is 88374.

47388 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47387) and next prime (47389).

It is a plaindrome in base 14.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

247388 is an apocalyptic number.

It is an amenable number.

47388 is an abundant number, since it is smaller than the sum of its proper divisors (73572).

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 (60480).

47388 is a wasteful number, since it uses less digits than its factorization.

47388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 375 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 47388 is about 217.6878499136. The cubic root of 47388 is about 36.1872954818.

It can be divided in two parts, 473 and 88, that added together give a triangular number (561 = T33).

The spelling of 47388 in words is "forty-seven thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 359 718 1077 1436 2154 3949 4308 7898 11847 15796 23694 47388