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41242761 = 3272412281
BaseRepresentation
bin1001110101010…
…1000010001001
32212121100102200
42131111002021
541024232021
64031550413
71010362200
oct235250211
985540380
1041242761
112130a32a
121198b409
138710401
145698237
15394a126
hex2755089

41242761 has 36 divisors (see below), whose sum is σ = 71020404. Its totient is φ = 22982400.

The previous prime is 41242739. The next prime is 41242777. The reversal of 41242761 is 16724214.

It can be written as a sum of positive squares in 2 ways, for example, as 11431161 + 29811600 = 3381^2 + 5460^2 .

It is not a de Polignac number, because 41242761 - 29 = 41242249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41242261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16941 + ... + 19221.

It is an arithmetic number, because the mean of its divisors is an integer number (1972789).

Almost surely, 241242761 is an apocalyptic number.

41242761 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

41242761 is a deficient number, since it is larger than the sum of its proper divisors (29777643).

41242761 is a wasteful number, since it uses less digits than its factorization.

41242761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2332 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 41242761 is about 6422.0527092200. The cubic root of 41242761 is about 345.5009483772.

Adding to 41242761 its reverse (16724214), we get a palindrome (57966975).

The spelling of 41242761 in words is "forty-one million, two hundred forty-two thousand, seven hundred sixty-one".

Divisors: 1 3 7 9 21 41 49 63 123 147 287 369 441 861 2009 2281 2583 6027 6843 15967 18081 20529 47901 93521 111769 143703 280563 335307 654647 841689 1005921 1963941 4582529 5891823 13747587 41242761