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40917241 = 1931127547
BaseRepresentation
bin1001110000010…
…1100011111001
32211222210220101
42130011203321
540433322431
64020555401
71004535151
oct234054371
984883811
1040917241
1121107802
1211852b61
1386281b1
145611761
1538d3961
hex27058f9

40917241 has 16 divisors (see below), whose sum is σ = 44892160. Its totient is φ = 37149840.

The previous prime is 40917223. The next prime is 40917259. The reversal of 40917241 is 14271904.

40917241 = 2733 + 2743.

40917241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40917223) and next prime (40917259).

It is a 3-Lehmer number, since φ(40917241) divides (40917241-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 40917241 - 225 = 7362809 is a prime.

It is a super-2 number, since 2×409172412 = 3348441222104162, which contains 22 as substring.

It is a deceptive number, since it divides R40917240.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40917211) 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 15 ways as a sum of consecutive naturals, for example, 74530 + ... + 75076.

It is an arithmetic number, because the mean of its divisors is an integer number (2805760).

It is a Poulet number, since it divides 240917240-1.

Almost surely, 240917241 is an apocalyptic number.

It is an amenable number.

40917241 is a deficient number, since it is larger than the sum of its proper divisors (3974919).

40917241 is a wasteful number, since it uses less digits than its factorization.

40917241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 40917241 is about 6396.6585808530. The cubic root of 40917241 is about 344.5895588070.

The spelling of 40917241 in words is "forty million, nine hundred seventeen thousand, two hundred forty-one".

Divisors: 1 19 31 127 547 589 2413 3937 10393 16957 69469 74803 322183 1319911 2153539 40917241