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25260768 = 2533132173
BaseRepresentation
bin110000001011…
…1001011100000
31202112101021000
41200113023200
522431321033
62301232000
7424466361
oct140271340
952471230
1025260768
1113293875
128562600
135305b00
1434d7b68
15233ea13
hex18172e0

25260768 has 144 divisors (see below), whose sum is σ = 80241840. Its totient is φ = 7727616.

The previous prime is 25260757. The next prime is 25260773. The reversal of 25260768 is 86706252.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145930 + ... + 146102.

It is an arithmetic number, because the mean of its divisors is an integer number (557235).

Almost surely, 225260768 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 25260768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40120920).

25260768 is an abundant number, since it is smaller than the sum of its proper divisors (54981072).

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

25260768 is a wasteful number, since it uses less digits than its factorization.

25260768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 25260768 is about 5026.0091523991. The cubic root of 25260768 is about 293.4149130304.

The spelling of 25260768 in words is "twenty-five million, two hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 169 173 208 216 234 288 312 338 346 351 416 432 468 507 519 624 676 692 702 864 936 1014 1038 1248 1352 1384 1404 1521 1557 1872 2028 2076 2249 2704 2768 2808 3042 3114 3744 4056 4152 4498 4563 4671 5408 5536 5616 6084 6228 6747 8112 8304 8996 9126 9342 11232 12168 12456 13494 16224 16608 17992 18252 18684 20241 24336 24912 26988 29237 35984 36504 37368 40482 48672 49824 53976 58474 60723 71968 73008 74736 80964 87711 107952 116948 121446 146016 149472 161928 175422 215904 233896 242892 263133 323856 350844 467792 485784 526266 647712 701688 789399 935584 971568 1052532 1403376 1578798 1943136 2105064 2806752 3157596 4210128 6315192 8420256 12630384 25260768