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25980864 = 2637131487
BaseRepresentation
bin110001100011…
…0111111000000
31210212222001020
41203012333000
523122341424
62324505440
7433555650
oct143067700
953788036
1025980864
1113735898
12884b280
1354c87c0
143644360
152433079
hex18c6fc0

25980864 has 112 divisors (see below), whose sum is σ = 84661248. Its totient is φ = 6847488.

The previous prime is 25980863. The next prime is 25980881. The reversal of 25980864 is 46808952.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25980863) 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, 16729 + ... + 18215.

It is an arithmetic number, because the mean of its divisors is an integer number (755904).

Almost surely, 225980864 is an apocalyptic number.

25980864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42330624).

25980864 is an abundant number, since it is smaller than the sum of its proper divisors (58680384).

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

25980864 is a wasteful number, since it uses less digits than its factorization.

25980864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 25980864 is about 5097.1427290199. The cubic root of 25980864 is about 296.1769090991.

The spelling of 25980864 in words is "twenty-five million, nine hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 1487 2184 2496 2912 2974 4368 4461 5824 5948 8736 8922 10409 11896 17472 17844 19331 20818 23792 31227 35688 38662 41636 47584 57993 62454 71376 77324 83272 95168 115986 124908 135317 142752 154648 166544 231972 249816 270634 285504 309296 333088 405951 463944 499632 541268 618592 666176 811902 927888 999264 1082536 1237184 1623804 1855776 1998528 2165072 3247608 3711552 4330144 6495216 8660288 12990432 25980864