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25868640 = 253577699
BaseRepresentation
bin110001010101…
…1100101100000
31210200021002210
41202223211200
523110244030
62322242120
7432610530
oct142534540
953607083
1025868640
1113669546
1287b6340
1354896b5
1436154c0
15240ebb0
hex18ab960

25868640 has 96 divisors (see below), whose sum is σ = 93139200. Its totient is φ = 5912064.

The previous prime is 25868621. The next prime is 25868653. The reversal of 25868640 is 4686852.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490 + ... + 7209.

It is an arithmetic number, because the mean of its divisors is an integer number (970200).

Almost surely, 225868640 is an apocalyptic number.

25868640 is a gapful number since it is divisible by the number (20) 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 25868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46569600).

25868640 is an abundant number, since it is smaller than the sum of its proper divisors (67270560).

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

25868640 is a wasteful number, since it uses less digits than its factorization.

25868640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7724 (or 7716 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 25868640 is about 5086.1222950299. The cubic root of 25868640 is about 295.7498495283.

The spelling of 25868640 in words is "twenty-five million, eight hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 7699 15398 23097 30796 38495 46194 53893 61592 76990 92388 107786 115485 123184 153980 161679 184776 215572 230970 246368 269465 307960 323358 369552 431144 461940 538930 615920 646716 739104 808395 862288 923880 1077860 1231840 1293432 1616790 1724576 1847760 2155720 2586864 3233580 3695520 4311440 5173728 6467160 8622880 12934320 25868640