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47424 = 2631319
BaseRepresentation
bin1011100101000000
32102001110
423211000
53004144
61003320
7255156
oct134500
972043
1047424
11326a3
1223540
1318780
14133d6
15e0b9
hexb940

47424 has 56 divisors (see below), whose sum is σ = 142240. Its totient is φ = 13824.

The previous prime is 47419. The next prime is 47431. The reversal of 47424 is 42474.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 47424.

It is a congruent number.

It is an unprimeable number.

47424 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2487 + ... + 2505.

It is an arithmetic number, because the mean of its divisors is an integer number (2540).

247424 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 47424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71120).

47424 is an abundant number, since it is smaller than the sum of its proper divisors (94816).

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

47424 is a wasteful number, since it uses less digits than its factorization.

47424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 37 counting only the distinct ones).

The product of its digits is 896, while the sum is 21.

The square root of 47424 is about 217.7705214211. The cubic root of 47424 is about 36.1964568228.

Adding to 47424 its reverse (42474), we get a palindrome (89898).

Subtracting from 47424 its reverse (42474), we obtain a triangular number (4950 = T99).

The spelling of 47424 in words is "forty-seven thousand, four hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 456 494 608 624 741 832 912 988 1216 1248 1482 1824 1976 2496 2964 3648 3952 5928 7904 11856 15808 23712 47424