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25980768 = 25321159139
BaseRepresentation
bin110001100011…
…0111101100000
31210212221220200
41203012331200
523122341033
62324505200
7433555452
oct143067540
953787820
1025980768
1113735810
12884b200
1354c8748
1436442d2
152433013
hex18c6f60

25980768 has 144 divisors (see below), whose sum is σ = 82555200. Its totient is φ = 7683840.

The previous prime is 25980767. The next prime is 25980769. The reversal of 25980768 is 86708952.

It is an interprime number because it is at equal distance from previous prime (25980767) and next prime (25980769).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25980763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186843 + ... + 186981.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 225980768 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 25980768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41277600).

25980768 is an abundant number, since it is smaller than the sum of its proper divisors (56574432).

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

25980768 is a wasteful number, since it uses less digits than its factorization.

25980768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 25980768 is about 5097.1333119706. The cubic root of 25980768 is about 296.1765443047.

The spelling of 25980768 in words is "twenty-five million, nine hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 59 66 72 88 96 99 118 132 139 144 176 177 198 236 264 278 288 352 354 396 417 472 528 531 556 649 708 792 834 944 1056 1062 1112 1251 1298 1416 1529 1584 1668 1888 1947 2124 2224 2502 2596 2832 3058 3168 3336 3894 4248 4448 4587 5004 5192 5664 5841 6116 6672 7788 8201 8496 9174 10008 10384 11682 12232 13344 13761 15576 16402 16992 18348 20016 20768 23364 24464 24603 27522 31152 32804 36696 40032 46728 48928 49206 55044 62304 65608 73392 73809 90211 93456 98412 110088 131216 146784 147618 180422 186912 196824 220176 262432 270633 295236 360844 393648 440352 541266 590472 721688 787296 811899 1082532 1180944 1443376 1623798 2165064 2361888 2886752 3247596 4330128 6495192 8660256 12990384 25980768