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40966641 = 35192467
BaseRepresentation
bin1001110001000…
…1100111110001
32212002022200000
42130101213301
540441413031
64022020213
71005132162
oct234214761
985068600
1040966641
1121140931
1211877669
138644821
145625769
1538e33e6
hex27119f1

40966641 has 36 divisors (see below), whose sum is σ = 64904112. Its totient is φ = 25818264.

The previous prime is 40966633. The next prime is 40966643. The reversal of 40966641 is 14666904.

40966641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40966641 - 23 = 40966633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40966596 and 40966605.

It is not an unprimeable number, because it can be changed into a prime (40966643) 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 35 ways as a sum of consecutive naturals, for example, 87490 + ... + 87956.

It is an arithmetic number, because the mean of its divisors is an integer number (1802892).

Almost surely, 240966641 is an apocalyptic number.

It is an amenable number.

40966641 is a deficient number, since it is larger than the sum of its proper divisors (23937471).

40966641 is an equidigital number, since it uses as much as digits as its factorization.

40966641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 40966641 is about 6400.5188070968. The cubic root of 40966641 is about 344.7281790869.

The spelling of 40966641 in words is "forty million, nine hundred sixty-six thousand, six hundred forty-one".

Divisors: 1 3 9 19 27 57 81 171 243 361 467 513 1083 1401 1539 3249 4203 4617 8873 9747 12609 26619 29241 37827 79857 87723 113481 168587 239571 505761 718713 1517283 2156139 4551849 13655547 40966641