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40006566 = 2322339539
BaseRepresentation
bin1001100010011…
…1001110100110
32210021112200200
42120213032212
540220202231
63545251330
7664023135
oct230471646
983245620
1040006566
1120645586
1211493b46
138399832
14545591c
1537a3be6
hex26273a6

40006566 has 24 divisors (see below), whose sum is σ = 87062040. Its totient is φ = 13276896.

The previous prime is 40006537. The next prime is 40006579. The reversal of 40006566 is 66560004.

40006566 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 656 + 6 = 666.

40006566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×400065662 = 3201050646224712, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 576 + ... + 8963.

It is an arithmetic number, because the mean of its divisors is an integer number (3627585).

Almost surely, 240006566 is an apocalyptic number.

40006566 is an abundant number, since it is smaller than the sum of its proper divisors (47055474).

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

40006566 is a wasteful number, since it uses less digits than its factorization.

40006566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9780 (or 9777 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 40006566 is about 6325.0743869144. The cubic root of 40006566 is about 342.0139011483.

The spelling of 40006566 in words is "forty million, six thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 233 466 699 1398 2097 4194 9539 19078 28617 57234 85851 171702 2222587 4445174 6667761 13335522 20003283 40006566