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47124 = 223271117
BaseRepresentation
bin1011100000010100
32101122100
423200110
53001444
61002100
7254250
oct134024
971570
1047124
1132450
1223330
13185ac
1413260
15de69
hexb814

47124 has 72 divisors (see below), whose sum is σ = 157248. Its totient is φ = 11520.

The previous prime is 47123. The next prime is 47129. The reversal of 47124 is 42174.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 47097 and 47106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2764 + ... + 2780.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

247124 is an apocalyptic number.

47124 is a gapful number since it is divisible by the number (44) 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 47124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624).

47124 is an abundant number, since it is smaller than the sum of its proper divisors (110124).

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

47124 is a wasteful number, since it uses less digits than its factorization.

47124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 40 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 47124 is about 217.0806301815. The cubic root of 47124 is about 36.1199701254.

Adding to 47124 its reverse (42174), we get a palindrome (89298).

Subtracting from 47124 its reverse (42174), we obtain a triangular number (4950 = T99).

It can be divided in two parts, 47 and 124, that added together give a palindrome (171).

The spelling of 47124 in words is "forty-seven thousand, one hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 9 11 12 14 17 18 21 22 28 33 34 36 42 44 51 63 66 68 77 84 99 102 119 126 132 153 154 187 198 204 231 238 252 306 308 357 374 396 462 476 561 612 693 714 748 924 1071 1122 1309 1386 1428 1683 2142 2244 2618 2772 3366 3927 4284 5236 6732 7854 11781 15708 23562 47124