Search a number
-
+
5582500 = 225471129
BaseRepresentation
bin10101010010111010100100
3101111121202021
4111102322210
52412120000
6315352524
765310340
oct25227244
911447667
105582500
113173240
121a52744
131205c71
14a54620
1575411a
hex552ea4

5582500 has 120 divisors (see below), whose sum is σ = 15744960. Its totient is φ = 1680000.

The previous prime is 5582483. The next prime is 5582501. The reversal of 5582500 is 52855.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5582501) 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 39 ways as a sum of consecutive naturals, for example, 192486 + ... + 192514.

It is an arithmetic number, because the mean of its divisors is an integer number (131208).

Almost surely, 25582500 is an apocalyptic number.

5582500 is a gapful number since it is divisible by the number (50) 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 5582500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7872480).

5582500 is an abundant number, since it is smaller than the sum of its proper divisors (10162460).

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

5582500 is a wasteful number, since it uses less digits than its factorization.

5582500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 5582500 is about 2362.7314701421. The cubic root of 5582500 is about 177.3956273254.

The spelling of 5582500 in words is "five million, five hundred eighty-two thousand, five hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 29 35 44 50 55 58 70 77 100 110 116 125 140 145 154 175 203 220 250 275 290 308 319 350 385 406 500 550 580 625 638 700 725 770 812 875 1015 1100 1250 1276 1375 1450 1540 1595 1750 1925 2030 2233 2500 2750 2900 3190 3500 3625 3850 4060 4375 4466 5075 5500 6380 6875 7250 7700 7975 8750 8932 9625 10150 11165 13750 14500 15950 17500 18125 19250 20300 22330 25375 27500 31900 36250 38500 39875 44660 48125 50750 55825 72500 79750 96250 101500 111650 126875 159500 192500 199375 223300 253750 279125 398750 507500 558250 797500 1116500 1395625 2791250 5582500