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5832225 = 325272232
BaseRepresentation
bin10110001111111000100001
3101222022022100
4112033320201
52443112400
6325001013
7100400400
oct26177041
911868270
105832225
113323923
121b53169
131292829
14abb637
157a3100
hex58fe21

5832225 has 81 divisors (see below), whose sum is σ = 12702963. Its totient is φ = 2550240.

The previous prime is 5832217. The next prime is 5832257. The reversal of 5832225 is 5222385.

5832225 = 13 + 23 + ... + 693.

The square root of 5832225 is 2415.

It is a perfect power (a square), and thus also a powerful number.

5832225 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2099601 + 3732624 = 1449^2 + 1932^2 .

It is not a de Polignac number, because 5832225 - 23 = 5832217 is a prime.

It is a d-powerful number, because it can be written as 52 + 83 + 314 + 2 + 24 + 220 + 53 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 253564 + ... + 253586.

Almost surely, 25832225 is an apocalyptic number.

5832225 is the 2415-th square number.

5832225 is the 1208-th centered octagonal number.

It is an amenable number.

5832225 is an abundant number, since it is smaller than the sum of its proper divisors (6870738).

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

5832225 is a wasteful number, since it uses less digits than its factorization.

5832225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 38 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The cubic root of 5832225 is about 180.0023147850.

The spelling of 5832225 in words is "five million, eight hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 23 25 35 45 49 63 69 75 105 115 147 161 175 207 225 245 315 345 441 483 525 529 575 735 805 1035 1127 1225 1449 1575 1587 1725 2205 2415 2645 3381 3675 3703 4025 4761 5175 5635 7245 7935 10143 11025 11109 12075 13225 16905 18515 23805 25921 28175 33327 36225 39675 50715 55545 77763 84525 92575 119025 129605 166635 233289 253575 277725 388815 648025 833175 1166445 1944075 5832225