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42016563 = 342931577
BaseRepresentation
bin1010000001000…
…1111100110011
32221001122220000
42200101330303
541224012223
64100321043
71020064161
oct240217463
987048800
1042016563
1121798736
12120a3183
138921694
14581a231
153a4e543
hex2811f33

42016563 has 40 divisors (see below), whose sum is σ = 67140480. Its totient is φ = 26127360.

The previous prime is 42016529. The next prime is 42016567. The reversal of 42016563 is 36561024.

42016563 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 656 + 3 = 666.

It is not a de Polignac number, because 42016563 - 28 = 42016307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42016567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72531 + ... + 73107.

It is an arithmetic number, because the mean of its divisors is an integer number (1678512).

Almost surely, 242016563 is an apocalyptic number.

42016563 is a deficient number, since it is larger than the sum of its proper divisors (25123917).

42016563 is a wasteful number, since it uses less digits than its factorization.

42016563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 640 counting only the distinct ones).

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

The square root of 42016563 is about 6482.0184356418. The cubic root of 42016563 is about 347.6483516814.

Adding to 42016563 its reverse (36561024), we get a palindrome (78577587).

The spelling of 42016563 in words is "forty-two million, sixteen thousand, five hundred sixty-three".

Divisors: 1 3 9 27 29 31 81 87 93 261 279 577 783 837 899 1731 2349 2511 2697 5193 8091 15579 16733 17887 24273 46737 50199 53661 72819 150597 160983 451791 482949 518723 1355373 1448847 1556169 4668507 14005521 42016563