Search a number
-
+
5827332 = 2237173401
BaseRepresentation
bin10110001110101100000100
3101222001121010
4112032230010
52442433312
6324522220
7100350210
oct26165404
911861533
105827332
113320185
121b50370
131290534
14ab9940
157a193c
hex58eb04

5827332 has 48 divisors (see below), whose sum is σ = 15668352. Its totient is φ = 1651200.

The previous prime is 5827321. The next prime is 5827333. The reversal of 5827332 is 2337285.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 54 + 82 + 24 + 78 + 36 + 310 + 211 .

It is a self number, because there is not a number n which added to its sum of digits gives 5827332.

It is not an unprimeable number, because it can be changed into a prime (5827333) 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, 14332 + ... + 14732.

It is an arithmetic number, because the mean of its divisors is an integer number (326424).

Almost surely, 25827332 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 5827332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7834176).

5827332 is an abundant number, since it is smaller than the sum of its proper divisors (9841020).

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

5827332 is a wasteful number, since it uses less digits than its factorization.

5827332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 586 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 5827332 is about 2413.9867439570. The cubic root of 5827332 is about 179.9519624898.

The spelling of 5827332 in words is "five million, eight hundred twenty-seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 173 346 401 519 692 802 1038 1203 1211 1604 2076 2406 2422 2807 3633 4812 4844 5614 7266 8421 11228 14532 16842 33684 69373 138746 208119 277492 416238 485611 832476 971222 1456833 1942444 2913666 5827332