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25808896 = 2126301
BaseRepresentation
bin110001001110…
…1000000000000
31210120020011001
41202131000000
523101341041
62321101344
7432241411
oct142350000
953506131
1025808896
1113628673
128787854
135468449
1435db808
1523ec131
hex189d000

25808896 has 26 divisors (see below), whose sum is σ = 51619682. Its totient is φ = 12902400.

The previous prime is 25808891. The next prime is 25808903. The reversal of 25808896 is 69880852.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 23040000 + 2768896 = 4800^2 + 1664^2 .

It is a super-2 number, since 2×258088962 = 1332198225477632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25808891) by changing a digit.

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 as a sum of consecutive naturals, namely, 946 + ... + 7246.

Almost surely, 225808896 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 25808896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25809841).

25808896 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

25808896 is an frugal number, since it uses more digits than its factorization.

25808896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6325 (or 6303 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The square root of 25808896 is about 5080.2456633513. The cubic root of 25808896 is about 295.5219945016.

It can be divided in two parts, 2580 and 8896, that added together give a triangular number (11476 = T151).

The spelling of 25808896 in words is "twenty-five million, eight hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 6301 12602 25204 50408 100816 201632 403264 806528 1613056 3226112 6452224 12904448 25808896