Search a number
-
+
25448660 = 2251729289
BaseRepresentation
bin110000100010…
…1000011010100
31202212220222222
41201011003110
523003324120
62305241512
7426211226
oct141050324
952786888
1025448660
1113401a56
128633298
1353704a3
143546416
15237a525
hex18450d4

25448660 has 72 divisors (see below), whose sum is σ = 59262840. Its totient is φ = 9146368.

The previous prime is 25448653. The next prime is 25448681. The reversal of 25448660 is 6684452.

It can be written as a sum of positive squares in 12 ways, for example, as 4963984 + 20484676 = 2228^2 + 4526^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 25448660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285896 + ... + 285984.

It is an arithmetic number, because the mean of its divisors is an integer number (823095).

Almost surely, 225448660 is an apocalyptic number.

25448660 is a gapful number since it is divisible by the number (20) 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 25448660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29631420).

25448660 is an abundant number, since it is smaller than the sum of its proper divisors (33814180).

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

25448660 is a wasteful number, since it uses less digits than its factorization.

25448660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 25448660 is about 5044.6664904630. Note that the first 3 decimals coincide. The cubic root of 25448660 is about 294.1405994480.

The spelling of 25448660 in words is "twenty-five million, four hundred forty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 89 116 145 170 178 290 340 356 445 493 580 841 890 986 1513 1682 1780 1972 2465 2581 3026 3364 4205 4930 5162 6052 7565 8410 9860 10324 12905 14297 15130 16820 25810 28594 30260 43877 51620 57188 71485 74849 87754 142970 149698 175508 219385 285940 299396 374245 438770 748490 877540 1272433 1496980 2544866 5089732 6362165 12724330 25448660