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25952256 = 2183211
BaseRepresentation
bin110001100000…
…0000000000000
31210211111210200
41203000000000
523120433011
62324125200
7433406361
oct143000000
953744720
1025952256
1113716350
128836800
1354b8785
143637b68
152429856
hex18c0000

25952256 has 114 divisors (see below), whose sum is σ = 81788772. Its totient is φ = 7864320.

The previous prime is 25952243. The next prime is 25952261. The reversal of 25952256 is 65225952.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (54000) is a multiple of the sum of its prime divisors (16).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 25952256.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2359291 + ... + 2359301.

Almost surely, 225952256 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 25952256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40894386).

25952256 is an abundant number, since it is smaller than the sum of its proper divisors (55836516).

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

25952256 is an frugal number, since it uses more digits than its factorization.

25952256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 16 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 25952256 is about 5094.3356779859. The cubic root of 25952256 is about 296.0681605877.

It can be divided in two parts, 2595 and 2256, that added together give a triangular number (4851 = T98).

The spelling of 25952256 in words is "twenty-five million, nine hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2048 2112 2304 2816 3072 3168 4096 4224 4608 5632 6144 6336 8192 8448 9216 11264 12288 12672 16384 16896 18432 22528 24576 25344 32768 33792 36864 45056 49152 50688 65536 67584 73728 90112 98304 101376 131072 135168 147456 180224 196608 202752 262144 270336 294912 360448 393216 405504 540672 589824 720896 786432 811008 1081344 1179648 1441792 1622016 2162688 2359296 2883584 3244032 4325376 6488064 8650752 12976128 25952256