Search a number
-
+
25985216 = 2623127139
BaseRepresentation
bin110001100100…
…0000011000000
31210220012000102
41203020003000
523123011331
62324541532
7433604435
oct143100300
953805012
1025985216
1113739094
1288518a8
1354ca78a
143645b8c
1524344cb
hex18c80c0

25985216 has 56 divisors (see below), whose sum is σ = 54620160. Its totient is φ = 12241152.

The previous prime is 25985209. The next prime is 25985249. The reversal of 25985216 is 61258952.

It is a self number, because there is not a number n which added to its sum of digits gives 25985216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186875 + ... + 187013.

It is an arithmetic number, because the mean of its divisors is an integer number (975360).

Almost surely, 225985216 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 25985216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27310080).

25985216 is an abundant number, since it is smaller than the sum of its proper divisors (28634944).

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

25985216 is a wasteful number, since it uses less digits than its factorization.

25985216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its digits is 43200, while the sum is 38.

The square root of 25985216 is about 5097.5696169842. The cubic root of 25985216 is about 296.1934454999.

The spelling of 25985216 in words is "twenty-five million, nine hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 127 139 184 254 278 368 508 556 736 1016 1112 1472 2032 2224 2921 3197 4064 4448 5842 6394 8128 8896 11684 12788 17653 23368 25576 35306 46736 51152 70612 93472 102304 141224 186944 204608 282448 406019 564896 812038 1129792 1624076 3248152 6496304 12992608 25985216