Search a number
-
+
41957216 = 257792371
BaseRepresentation
bin1010000000001…
…1011101100000
32220221122110222
42200003131200
541220112331
64055142212
71016426150
oct240033540
986848428
1041957216
1121758094
1212074968
138900672
145802760
153a3bb7b
hex2803760

41957216 has 48 divisors (see below), whose sum is σ = 95639040. Its totient is φ = 17746560.

The previous prime is 41957213. The next prime is 41957219. The reversal of 41957216 is 61275914.

It is an interprime number because it is at equal distance from previous prime (41957213) and next prime (41957219).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41957213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16511 + ... + 18881.

It is an arithmetic number, because the mean of its divisors is an integer number (1992480).

Almost surely, 241957216 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 41957216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47819520).

41957216 is an abundant number, since it is smaller than the sum of its proper divisors (53681824).

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

41957216 is a wasteful number, since it uses less digits than its factorization.

41957216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2459 counting only the distinct ones).

The product of its digits is 15120, while the sum is 35.

The square root of 41957216 is about 6477.4390000987. The cubic root of 41957216 is about 347.4845939722.

It can be divided in two parts, 4195 and 7216, that added together give a palindrome (11411).

The spelling of 41957216 in words is "forty-one million, nine hundred fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 1106 1264 2212 2371 2528 4424 4742 8848 9484 16597 17696 18968 33194 37936 66388 75872 132776 187309 265552 374618 531104 749236 1311163 1498472 2622326 2996944 5244652 5993888 10489304 20978608 41957216