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47872 = 281117
BaseRepresentation
bin1011101100000000
32102200001
423230000
53012442
61005344
7256366
oct135400
972601
1047872
1132a70
1223854
1318a36
1413636
15e2b7
hexbb00

47872 has 36 divisors (see below), whose sum is σ = 110376. Its totient is φ = 20480.

The previous prime is 47869. The next prime is 47881. The reversal of 47872 is 27874.

It can be divided in two parts, 47 and 872, that added together give a palindrome (919).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 47872.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2808 + ... + 2824.

It is an arithmetic number, because the mean of its divisors is an integer number (3066).

247872 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 47872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55188).

47872 is an abundant number, since it is smaller than the sum of its proper divisors (62504).

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

47872 is a wasteful number, since it uses less digits than its factorization.

47872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 30 counting only the distinct ones).

The product of its digits is 3136, while the sum is 28.

The square root of 47872 is about 218.7967092988. The cubic root of 47872 is about 36.3100787329.

The spelling of 47872 in words is "forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 544 704 748 1088 1408 1496 2176 2816 2992 4352 5984 11968 23936 47872