Search a number
-
+
25260256 = 257234903
BaseRepresentation
bin110000001011…
…1000011100000
31202112100120001
41200113003200
522431312011
62301225344
7424465030
oct140270340
952470501
1025260256
111329344a
128562254
1353057c8
1434d78c0
15233e7c1
hex18170e0

25260256 has 48 divisors (see below), whose sum is σ = 59318784. Its totient is φ = 10353024.

The previous prime is 25260251. The next prime is 25260259. The reversal of 25260256 is 65206252.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25260251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2701 + ... + 7603.

It is an arithmetic number, because the mean of its divisors is an integer number (1235808).

Almost surely, 225260256 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 25260256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29659392).

25260256 is an abundant number, since it is smaller than the sum of its proper divisors (34058528).

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

25260256 is a wasteful number, since it uses less digits than its factorization.

25260256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4943 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 25260256 is about 5025.9582170965. The cubic root of 25260256 is about 293.4129306487.

It can be divided in two parts, 25 and 260256, that added together give a triangular number (260281 = T721).

The spelling of 25260256 in words is "twenty-five million, two hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 4903 5152 9806 19612 34321 39224 68642 78448 112769 137284 156896 225538 274568 451076 549136 789383 902152 1098272 1578766 1804304 3157532 3608608 6315064 12630128 25260256