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41561856 = 28337859
BaseRepresentation
bin1001111010001…
…0111100000000
32220012120011000
42132202330000
541114434411
64042452000
71013161410
oct236427400
986176130
1041561856
1121508046
1211b04000
1387c271b
14573c640
1539ae956
hex27a2f00

41561856 has 144 divisors (see below), whose sum is σ = 140627200. Its totient is φ = 11860992.

The previous prime is 41561837. The next prime is 41561857. The reversal of 41561856 is 65816514.

41561856 is a `hidden beast` number, since 41 + 561 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 41561856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41561857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47955 + ... + 48813.

Almost surely, 241561856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41561856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70313600).

41561856 is an abundant number, since it is smaller than the sum of its proper divisors (99065344).

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

41561856 is an equidigital number, since it uses as much as digits as its factorization.

41561856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 871 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 41561856 is about 6446.8485324226. The cubic root of 41561856 is about 346.3897064680.

The spelling of 41561856 in words is "forty-one million, five hundred sixty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 859 864 896 1008 1152 1344 1512 1718 1728 1792 2016 2304 2577 2688 3024 3436 3456 4032 5154 5376 6013 6048 6872 6912 7731 8064 10308 12026 12096 13744 15462 16128 18039 20616 23193 24052 24192 27488 30924 36078 41232 46386 48104 48384 54117 54976 61848 72156 82464 92772 96208 108234 109952 123696 144312 162351 164928 185544 192416 216468 219904 247392 288624 324702 329856 371088 384832 432936 494784 577248 649404 659712 742176 769664 865872 989568 1154496 1298808 1484352 1539328 1731744 1979136 2308992 2597616 2968704 3463488 4617984 5195232 5937408 6926976 10390464 13853952 20780928 41561856