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40986564 = 223107137233
BaseRepresentation
bin1001110001011…
…0011111000100
32212010022222220
42130112133010
540443032224
64022252340
71005244233
oct234263704
985108886
1040986564
11211548a3
12118870b0
138650908
14562cb1a
1538e9279
hex27167c4

40986564 has 48 divisors (see below), whose sum is σ = 97651008. Its totient is φ = 13378048.

The previous prime is 40986563. The next prime is 40986601. The reversal of 40986564 is 46568904.

40986564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40986563) 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, 175792 + ... + 176024.

It is an arithmetic number, because the mean of its divisors is an integer number (2034396).

Almost surely, 240986564 is an apocalyptic number.

It is an amenable number.

40986564 is an abundant number, since it is smaller than the sum of its proper divisors (56664444).

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

40986564 is a wasteful number, since it uses less digits than its factorization.

40986564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 40986564 is about 6402.0749761308. The cubic root of 40986564 is about 344.7840530556.

The spelling of 40986564 in words is "forty million, nine hundred eighty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 107 137 214 233 274 321 411 428 466 548 642 699 822 932 1284 1398 1644 2796 14659 24931 29318 31921 43977 49862 58636 63842 74793 87954 95763 99724 127684 149586 175908 191526 299172 383052 3415547 6831094 10246641 13662188 20493282 40986564