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5840856 = 233373863
BaseRepresentation
bin10110010001111111011000
3101222202011000
4112101333120
52443401411
6325105000
7100434510
oct26217730
911882130
105840856
11332a35a
121b58160
131296738
14ac0840
157a5956
hex591fd8

5840856 has 64 divisors (see below), whose sum is σ = 18547200. Its totient is φ = 1668384.

The previous prime is 5840851. The next prime is 5840867. The reversal of 5840856 is 6580485.

It is a happy number.

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 5840856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5840851) 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, 420 + ... + 3443.

It is an arithmetic number, because the mean of its divisors is an integer number (289800).

Almost surely, 25840856 is an apocalyptic number.

5840856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5840856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9273600).

5840856 is an abundant number, since it is smaller than the sum of its proper divisors (12706344).

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

5840856 is a wasteful number, since it uses less digits than its factorization.

5840856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3875 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5840856 is about 2416.7862958896. The cubic root of 5840856 is about 180.0910650320.

The spelling of 5840856 in words is "five million, eight hundred forty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 3863 7726 11589 15452 23178 27041 30904 34767 46356 54082 69534 81123 92712 104301 108164 139068 162246 208602 216328 243369 278136 324492 417204 486738 648984 730107 834408 973476 1460214 1946952 2920428 5840856