Search a number
-
+
25684256 = 2513292129
BaseRepresentation
bin110000111111…
…0100100100000
31210022220011202
41201332210200
523033344011
62314300332
7431212133
oct141764440
953286152
1025684256
1113552a64
1287276a8
1354237b0
1435a821a
1523c523b
hex187e920

25684256 has 48 divisors (see below), whose sum is σ = 56359800. Its totient is φ = 11440128.

The previous prime is 25684237. The next prime is 25684259. The reversal of 25684256 is 65248652.

It can be written as a sum of positive squares in 4 ways, for example, as 14899600 + 10784656 = 3860^2 + 3284^2 .

It is not an unprimeable number, because it can be changed into a prime (25684259) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11000 + ... + 13128.

Almost surely, 225684256 is an apocalyptic number.

25684256 is a gapful number since it is divisible by the number (26) 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 25684256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28179900).

25684256 is an abundant number, since it is smaller than the sum of its proper divisors (30675544).

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

25684256 is a wasteful number, since it uses less digits than its factorization.

25684256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2173 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

The square root of 25684256 is about 5067.9636936348. The cubic root of 25684256 is about 295.0455009773.

The spelling of 25684256 in words is "twenty-five million, six hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 2129 3016 4258 6032 8516 12064 17032 27677 34064 55354 61741 68128 110708 123482 221416 246964 442832 493928 802633 885664 987856 1605266 1975712 3210532 6421064 12842128 25684256