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41417680 = 245517721
BaseRepresentation
bin1001110111111…
…1101111010000
32212221020101011
42131333233100
541100331210
64035420304
71012021153
oct235775720
985836334
1041417680
1121419797
1211a54694
138771c05
145701c9a
153981d8a
hex277fbd0

41417680 has 20 divisors (see below), whose sum is σ = 96296292. Its totient is φ = 16567040.

The previous prime is 41417617. The next prime is 41417681. The reversal of 41417680 is 8671414.

It can be written as a sum of positive squares in 2 ways, for example, as 11343424 + 30074256 = 3368^2 + 5484^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41417681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 258781 + ... + 258940.

Almost surely, 241417680 is an apocalyptic number.

41417680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41417680 is an abundant number, since it is smaller than the sum of its proper divisors (54878612).

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

41417680 is a wasteful number, since it uses less digits than its factorization.

41417680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517734 (or 517728 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 41417680 is about 6435.6569206259. The cubic root of 41417680 is about 345.9887062370.

The spelling of 41417680 in words is "forty-one million, four hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 517721 1035442 2070884 2588605 4141768 5177210 8283536 10354420 20708840 41417680