Search a number
-
+
25307568 = 243211131229
BaseRepresentation
bin110000010001…
…0100110110000
31202121202110100
41200202212300
522434320233
62302232400
7425052666
oct140424660
952552410
1025307568
1113315a50
128585700
1353211c0
14350ac36
15234d813
hex18229b0

25307568 has 120 divisors (see below), whose sum is σ = 83275920. Its totient is φ = 7073280.

The previous prime is 25307531. The next prime is 25307587. The reversal of 25307568 is 86570352.

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 23 ways as a sum of consecutive naturals, for example, 19978 + ... + 21206.

It is an arithmetic number, because the mean of its divisors is an integer number (693966).

Almost surely, 225307568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25307568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41637960).

25307568 is an abundant number, since it is smaller than the sum of its proper divisors (57968352).

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

25307568 is a wasteful number, since it uses less digits than its factorization.

25307568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 25307568 is about 5030.6627793960. The cubic root of 25307568 is about 293.5960020937.

The spelling of 25307568 in words is "twenty-five million, three hundred seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1229 1287 1584 1716 1872 2288 2458 2574 3432 3687 4916 5148 6864 7374 9832 10296 11061 13519 14748 15977 19664 20592 22122 27038 29496 31954 40557 44244 47931 54076 58992 63908 81114 88488 95862 108152 121671 127816 143793 162228 175747 176976 191724 216304 243342 255632 287586 324456 351494 383448 486684 527241 575172 648912 702988 766896 973368 1054482 1150344 1405976 1581723 1946736 2108964 2300688 2811952 3163446 4217928 6326892 8435856 12653784 25307568