Search a number
-
+
25261460 = 22572149173
BaseRepresentation
bin110000001011…
…1010110010100
31202112102012122
41200113112110
522431331320
62301235112
7424501400
oct140272624
952472178
1025261460
1113294344
128562a98
135306213
1434d8100
15233ed25
hex1817594

25261460 has 72 divisors (see below), whose sum is σ = 62483400. Its totient is φ = 8553216.

The previous prime is 25261433. The next prime is 25261501. The reversal of 25261460 is 6416252.

It can be written as a sum of positive squares in 4 ways, for example, as 2869636 + 22391824 = 1694^2 + 4732^2 .

It is a super-2 number, since 2×252614602 = 1276282722663200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 145934 + ... + 146106.

It is an arithmetic number, because the mean of its divisors is an integer number (867825).

Almost surely, 225261460 is an apocalyptic number.

25261460 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 25261460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31241700).

25261460 is an abundant number, since it is smaller than the sum of its proper divisors (37221940).

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

25261460 is a wasteful number, since it uses less digits than its factorization.

25261460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 25261460 is about 5026.0779938238. The cubic root of 25261460 is about 293.4175923006.

The spelling of 25261460 in words is "twenty-five million, two hundred sixty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 149 173 196 245 298 346 490 596 692 745 865 980 1043 1211 1490 1730 2086 2422 2980 3460 4172 4844 5215 6055 7301 8477 10430 12110 14602 16954 20860 24220 25777 29204 33908 36505 42385 51554 73010 84770 103108 128885 146020 169540 180439 257770 360878 515540 721756 902195 1263073 1804390 2526146 3608780 5052292 6315365 12630730 25261460