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25965390 = 23511223311
BaseRepresentation
bin110001100001…
…1001101001110
31210212011211010
41203003031032
523121343030
62324310050
7433462563
oct143031516
953764733
1025965390
1113725200
128842326
1354c1749
14363c86a
15242d6b0
hex18c334e

25965390 has 96 divisors (see below), whose sum is σ = 71705088. Its totient is φ = 6001600.

The previous prime is 25965377. The next prime is 25965391. The reversal of 25965390 is 9356952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25965391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83335 + ... + 83645.

It is an arithmetic number, because the mean of its divisors is an integer number (746928).

Almost surely, 225965390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25965390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35852544).

25965390 is an abundant number, since it is smaller than the sum of its proper divisors (45739698).

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

25965390 is a wasteful number, since it uses less digits than its factorization.

25965390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 39.

The square root of 25965390 is about 5095.6245937078. The cubic root of 25965390 is about 296.1180972024.

The spelling of 25965390 in words is "twenty-five million, nine hundred sixty-five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 121 138 165 230 242 253 311 330 345 363 506 605 622 690 726 759 933 1210 1265 1518 1555 1815 1866 2530 2783 3110 3421 3630 3795 4665 5566 6842 7153 7590 8349 9330 10263 13915 14306 16698 17105 20526 21459 27830 34210 35765 37631 41745 42918 51315 71530 75262 78683 83490 102630 107295 112893 157366 188155 214590 225786 236049 376310 393415 472098 564465 786830 865513 1128930 1180245 1731026 2360490 2596539 4327565 5193078 8655130 12982695 25965390