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41093856 = 2532971471
BaseRepresentation
bin1001110011000…
…0101011100000
32212022210011200
42130300223200
541010000411
64024441200
71006202106
oct234605340
985283150
1041093856
1121218471
1211919200
13868a6bb
145659c76
15391ae56
hex2730ae0

41093856 has 72 divisors (see below), whose sum is σ = 118145664. Its totient is φ = 13547520.

The previous prime is 41093851. The next prime is 41093861. The reversal of 41093856 is 65839014.

It is an interprime number because it is at equal distance from previous prime (41093851) and next prime (41093861).

It is a tau number, because it is divible by the number of its divisors (72).

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 41093856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41093851) 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 11 ways as a sum of consecutive naturals, for example, 27201 + ... + 28671.

It is an arithmetic number, because the mean of its divisors is an integer number (1640912).

Almost surely, 241093856 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 41093856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59072832).

41093856 is an abundant number, since it is smaller than the sum of its proper divisors (77051808).

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

41093856 is a wasteful number, since it uses less digits than its factorization.

41093856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 41093856 is about 6410.4489702360. The cubic root of 41093856 is about 345.0846421182.

The spelling of 41093856 in words is "forty-one million, ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 582 776 873 1164 1471 1552 1746 2328 2942 3104 3492 4413 4656 5884 6984 8826 9312 11768 13239 13968 17652 23536 26478 27936 35304 47072 52956 70608 105912 141216 142687 211824 285374 423648 428061 570748 856122 1141496 1284183 1712244 2282992 2568366 3424488 4565984 5136732 6848976 10273464 13697952 20546928 41093856