Search a number
-
+
2588250 = 235371729
BaseRepresentation
bin1001110111111001011010
311212111102010
421313321122
51130311000
6131250350
730666630
oct11677132
94774363
102588250
111508655
12a499b6
136c8112
144b5350
15361d50
hex277e5a

2588250 has 128 divisors (see below), whose sum is σ = 8087040. Its totient is φ = 537600.

The previous prime is 2588249. The next prime is 2588263. The reversal of 2588250 is 528852.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89236 + ... + 89264.

It is an arithmetic number, because the mean of its divisors is an integer number (63180).

22588250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2588250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043520).

2588250 is an abundant number, since it is smaller than the sum of its proper divisors (5498790).

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

2588250 is a wasteful number, since it uses less digits than its factorization.

2588250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 2588250 is about 1608.8039035258. The cubic root of 2588250 is about 137.2994320966.

The spelling of 2588250 in words is "two million, five hundred eighty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 25 29 30 34 35 42 50 51 58 70 75 85 87 102 105 119 125 145 150 170 174 175 203 210 238 250 255 290 350 357 375 406 425 435 493 510 525 595 609 714 725 750 850 870 875 986 1015 1050 1190 1218 1275 1450 1479 1750 1785 2030 2125 2175 2465 2550 2625 2958 2975 3045 3451 3570 3625 4250 4350 4930 5075 5250 5950 6090 6375 6902 7250 7395 8925 10150 10353 10875 12325 12750 14790 14875 15225 17255 17850 20706 21750 24650 25375 29750 30450 34510 36975 44625 50750 51765 61625 73950 76125 86275 89250 103530 123250 152250 172550 184875 258825 369750 431375 517650 862750 1294125 2588250