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5828166 = 233372917
BaseRepresentation
bin10110001110111001000110
3101222002202000
4112032321012
52443000131
6324530130
7100352511
oct26167106
911862660
105828166
113320873
121b50946
131290a26
14ab9d78
157a1ce6
hex58ee46

5828166 has 32 divisors (see below), whose sum is σ = 13306080. Its totient is φ = 1889568.

The previous prime is 5828153. The next prime is 5828167. The reversal of 5828166 is 6618285.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5828166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5828167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540 + ... + 3456.

It is an arithmetic number, because the mean of its divisors is an integer number (415815).

Almost surely, 25828166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5828166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653040).

5828166 is an abundant number, since it is smaller than the sum of its proper divisors (7477914).

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

5828166 is a wasteful number, since it uses less digits than its factorization.

5828166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2959 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 5828166 is about 2414.1594810617. The cubic root of 5828166 is about 179.9605469087.

It can be divided in two parts, 58 and 28166, that added together give a square (28224 = 1682).

The spelling of 5828166 in words is "five million, eight hundred twenty-eight thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1998 2917 5834 8751 17502 26253 52506 78759 107929 157518 215858 323787 647574 971361 1942722 2914083 5828166