Search a number
-
+
41600480 = 255260003
BaseRepresentation
bin1001111010110…
…0010111100000
32220021112010112
42132230113200
541122203410
64043350452
71013412125
oct236542740
986245115
1041600480
1121534069
1211b22428
13880718c
14574c74c
1539bb105
hex27ac5e0

41600480 has 24 divisors (see below), whose sum is σ = 98281512. Its totient is φ = 16640128.

The previous prime is 41600473. The next prime is 41600483. The reversal of 41600480 is 8400614.

It is a happy number.

41600480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41600483) by changing a digit.

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, 129842 + ... + 130161.

It is an arithmetic number, because the mean of its divisors is an integer number (4095063).

Almost surely, 241600480 is an apocalyptic number.

41600480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41600480 is an abundant number, since it is smaller than the sum of its proper divisors (56681032).

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

41600480 is a wasteful number, since it uses less digits than its factorization.

41600480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260018 (or 260010 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 41600480 is about 6449.8434089519. The cubic root of 41600480 is about 346.4969748068.

The spelling of 41600480 in words is "forty-one million, six hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 260003 520006 1040012 1300015 2080024 2600030 4160048 5200060 8320096 10400120 20800240 41600480