Search a number
-
+
41605728 = 253433393
BaseRepresentation
bin1001111010110…
…1101001100000
32220021210022220
42132231221200
541122340403
64043431040
71013433333
oct236555140
986253286
1041605728
1121537aaa
1211b25480
138809698
14575061a
1539bc953
hex27ada60

41605728 has 24 divisors (see below), whose sum is σ = 109215288. Its totient is φ = 13868544.

The previous prime is 41605661. The next prime is 41605747. The reversal of 41605728 is 82750614.

41605728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 216601 + ... + 216792.

It is an arithmetic number, because the mean of its divisors is an integer number (4550637).

Almost surely, 241605728 is an apocalyptic number.

41605728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41605728 is an abundant number, since it is smaller than the sum of its proper divisors (67609560).

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

41605728 is a wasteful number, since it uses less digits than its factorization.

41605728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433406 (or 433398 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 41605728 is about 6450.2502277043. The cubic root of 41605728 is about 346.5115446680.

The spelling of 41605728 in words is "forty-one million, six hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 433393 866786 1300179 1733572 2600358 3467144 5200716 6934288 10401432 13868576 20802864 41605728