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25765056 = 2632411091
BaseRepresentation
bin110001001001…
…0010011000000
31210111000000100
41202102103000
523043440211
62320122400
7431666532
oct142222300
953430010
1025765056
11135a8739
128766400
1354514c5
1435c9852
1523de156
hex18924c0

25765056 has 84 divisors (see below), whose sum is σ = 75721464. Its totient is φ = 8371200.

The previous prime is 25765027. The next prime is 25765067. The reversal of 25765056 is 65056752.

It is a super-2 number, since 2×257650562 = 1327676221366272, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 25765056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23071 + ... + 24161.

It is an arithmetic number, because the mean of its divisors is an integer number (901446).

Almost surely, 225765056 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 25765056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37860732).

25765056 is an abundant number, since it is smaller than the sum of its proper divisors (49956408).

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

25765056 is a wasteful number, since it uses less digits than its factorization.

25765056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 25765056 is about 5075.9290775187. The cubic root of 25765056 is about 295.3545712632.

The spelling of 25765056 in words is "twenty-five million, seven hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1091 1312 1476 1968 2182 2624 2952 3273 3936 4364 5904 6546 7872 8728 9819 11808 13092 17456 19638 23616 26184 34912 39276 44731 52368 69824 78552 89462 104736 134193 157104 178924 209472 268386 314208 357848 402579 536772 628416 715696 805158 1073544 1431392 1610316 2147088 2862784 3220632 4294176 6441264 8588352 12882528 25765056