Search a number
-
+
41643216 = 2432289189
BaseRepresentation
bin1001111011011…
…0110011010000
32220100200202100
42132312303100
541130040331
64044320400
71013650536
oct236666320
986320670
1041643216
112156318a
1211b43100
138820774
145760156
1539c8ae6
hex27b6cd0

41643216 has 30 divisors (see below), whose sum is σ = 116543570. Its totient is φ = 13881024.

The previous prime is 41643169. The next prime is 41643227. The reversal of 41643216 is 61234614.

41643216 = T205 + T206 + ... + T636.

41643216 is a `hidden beast` number, since 4 + 1 + 643 + 2 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24800400 + 16842816 = 4980^2 + 4104^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41643216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144451 + ... + 144738.

Almost surely, 241643216 is an apocalyptic number.

It is an amenable number.

41643216 is an abundant number, since it is smaller than the sum of its proper divisors (74900354).

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

41643216 is a wasteful number, since it uses less digits than its factorization.

41643216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289203 (or 289194 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 41643216 is about 6453.1555071918. The cubic root of 41643216 is about 346.6155858333.

The spelling of 41643216 in words is "forty-one million, six hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 289189 578378 867567 1156756 1735134 2313512 2602701 3470268 4627024 5205402 6940536 10410804 13881072 20821608 41643216