Search a number
-
+
25468560 = 2433513907
BaseRepresentation
bin110000100100…
…1111010010000
31202220221022000
41201021322100
523004443220
62305514000
7426323235
oct141117220
952827260
1025468560
11134159a7
128642900
135379570
14354d78c
152381390
hex1849e90

25468560 has 160 divisors (see below), whose sum is σ = 94577280. Its totient is φ = 6262272.

The previous prime is 25468559. The next prime is 25468579. The reversal of 25468560 is 6586452.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27627 + ... + 28533.

It is an arithmetic number, because the mean of its divisors is an integer number (591108).

Almost surely, 225468560 is an apocalyptic number.

25468560 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 25468560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47288640).

25468560 is an abundant number, since it is smaller than the sum of its proper divisors (69108720).

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

25468560 is a wasteful number, since it uses less digits than its factorization.

25468560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 25468560 is about 5046.6384851701. The cubic root of 25468560 is about 294.2172488390.

The spelling of 25468560 in words is "twenty-five million, four hundred sixty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 907 936 1040 1080 1170 1404 1560 1755 1814 1872 2160 2340 2721 2808 3120 3510 3628 4535 4680 5442 5616 7020 7256 8163 9070 9360 10884 11791 13605 14040 14512 16326 18140 21768 23582 24489 27210 28080 32652 35373 36280 40815 43536 47164 48978 54420 58955 65304 70746 72560 81630 94328 97956 106119 108840 117910 122445 130608 141492 163260 176865 188656 195912 212238 217680 235820 244890 282984 318357 326520 353730 391824 424476 471640 489780 530595 565968 636714 653040 707460 848952 943280 979560 1061190 1273428 1414920 1591785 1697904 1959120 2122380 2546856 2829840 3183570 4244760 5093712 6367140 8489520 12734280 25468560