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25805268 = 223219311217
BaseRepresentation
bin110001001110…
…0000111010100
31210120001011200
41202130013110
523101232033
62321032500
7432225006
oct142340724
953501150
1025805268
1113625975
128785730
1354668b8
1435da376
1523eb013
hex189c1d4

25805268 has 72 divisors (see below), whose sum is σ = 70936320. Its totient is φ = 7879680.

The previous prime is 25805267. The next prime is 25805291. The reversal of 25805268 is 86250852.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25805267) 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 23 ways as a sum of consecutive naturals, for example, 20596 + ... + 21812.

Almost surely, 225805268 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 25805268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35468160).

25805268 is an abundant number, since it is smaller than the sum of its proper divisors (45131052).

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

25805268 is a wasteful number, since it uses less digits than its factorization.

25805268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 25805268 is about 5079.8885814553. Note that the first 3 decimals coincide. The cubic root of 25805268 is about 295.5081465111.

The spelling of 25805268 in words is "twenty-five million, eight hundred five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 342 372 558 589 684 1116 1178 1217 1767 2356 2434 3534 3651 4868 5301 7068 7302 10602 10953 14604 21204 21906 23123 37727 43812 46246 69369 75454 92492 113181 138738 150908 208107 226362 277476 339543 416214 452724 679086 716813 832428 1358172 1433626 2150439 2867252 4300878 6451317 8601756 12902634 25805268