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25765152 = 2537231667
BaseRepresentation
bin110001001001…
…0010100100000
31210111000010220
41202102110200
523043441102
62320123040
7432000030
oct142222440
953430126
1025765152
11135a8816
128766480
13545156a
1435c98c0
1523de1bc
hex1892520

25765152 has 96 divisors (see below), whose sum is σ = 80704512. Its totient is φ = 7037184.

The previous prime is 25765147. The next prime is 25765153. The reversal of 25765152 is 25156752.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (25765153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14623 + ... + 16289.

It is an arithmetic number, because the mean of its divisors is an integer number (840672).

Almost surely, 225765152 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 25765152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40352256).

25765152 is an abundant number, since it is smaller than the sum of its proper divisors (54939360).

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

25765152 is a wasteful number, since it uses less digits than its factorization.

25765152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1702 counting only the distinct ones).

The product of its digits is 21000, while the sum is 33.

The square root of 25765152 is about 5075.9385339068. The cubic root of 25765152 is about 295.3549380908.

Subtracting from 25765152 its reverse (25156752), we obtain a square (608400 = 7802).

The spelling of 25765152 in words is "twenty-five million, seven hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1667 1932 2208 2576 3334 3864 5001 5152 6668 7728 10002 11669 13336 15456 20004 23338 26672 35007 38341 40008 46676 53344 70014 76682 80016 93352 115023 140028 153364 160032 186704 230046 268387 280056 306728 373408 460092 536774 560112 613456 805161 920184 1073548 1120224 1226912 1610322 1840368 2147096 3220644 3680736 4294192 6441288 8588384 12882576 25765152