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43216 = 243773
BaseRepresentation
bin1010100011010000
32012021121
422203100
52340331
6532024
7236665
oct124320
965247
1043216
112a518
1221014
1316894
1411a6c
15cc11
hexa8d0

43216 has 20 divisors (see below), whose sum is σ = 87172. Its totient is φ = 20736.

The previous prime is 43207. The next prime is 43223. The reversal of 43216 is 61234.

It can be written as a sum of positive squares in 2 ways, for example, as 32400 + 10816 = 180^2 + 104^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 43216.

It is a congruent number.

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, 556 + ... + 628.

243216 is an apocalyptic number.

It is an amenable number.

43216 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (43586).

43216 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (43215) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (118).

43216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 112 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 43216 is about 207.8845833630. The cubic root of 43216 is about 35.0925442020.

43216 divided by its sum of digits (16) gives a triangular number (2701 = T73).

The spelling of 43216 in words is "forty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 37 73 74 146 148 292 296 584 592 1168 2701 5402 10804 21608 43216