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41564133 = 32131720897
BaseRepresentation
bin1001111010001…
…1011111100101
32220012200021100
42132203133211
541120023013
64042510313
71013201142
oct236433745
986180240
1041564133
1121509826
1211b05399
1387c3780
14573d3c9
1539b0473
hex27a37e5

41564133 has 24 divisors (see below), whose sum is σ = 68461848. Its totient is φ = 24072192.

The previous prime is 41564113. The next prime is 41564147. The reversal of 41564133 is 33146514.

41564133 is a `hidden beast` number, since 4 + 15 + 641 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6066369 + 35497764 = 2463^2 + 5958^2 .

It is not a de Polignac number, because 41564133 - 26 = 41564069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41564097 and 41564106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41564113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8460 + ... + 12437.

It is an arithmetic number, because the mean of its divisors is an integer number (2852577).

Almost surely, 241564133 is an apocalyptic number.

It is an amenable number.

41564133 is a deficient number, since it is larger than the sum of its proper divisors (26897715).

41564133 is a wasteful number, since it uses less digits than its factorization.

41564133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20933 (or 20930 counting only the distinct ones).

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

The square root of 41564133 is about 6447.0251279175. The cubic root of 41564133 is about 346.3960320995.

The spelling of 41564133 in words is "forty-one million, five hundred sixty-four thousand, one hundred thirty-three".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 20897 62691 188073 271661 355249 814983 1065747 2444949 3197241 4618237 13854711 41564133