Search a number
BaseRepresentation
bin1010000100000000
32002112112
422010000
52304331
6514452
7231110
oct120400
962475
1041216
1128a6a
121ba28
13159b6
1411040
15c32b
hexa100

41216 has 36 divisors (see below), whose sum is σ = 98112. Its totient is φ = 16896.

The previous prime is 41213. The next prime is 41221. The reversal of 41216 is 61214.

41216 = T48 + T49 + ... + T70.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (14).

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

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 41216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1781 + ... + 1803.

241216 is an apocalyptic number.

41216 is a gapful number since it is divisible by the number (46) 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 41216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49056).

41216 is an abundant number, since it is smaller than the sum of its proper divisors (56896).

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

41216 is an equidigital number, since it uses as much as digits as its factorization.

41216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 32 counting only the distinct ones).

The product of its digits is 48, while the sum is 14.

The square root of 41216 is about 203.0172406472. The cubic root of 41216 is about 34.5426204340.

The spelling of 41216 in words is "forty-one thousand, two hundred sixteen".