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256026240 = 2732544449
BaseRepresentation
bin11110100001010…
…10011010000000
3122211202110222100
433100222122000
51011020314430
641223310400
76226121121
oct1720523200
9584673870
10256026240
1112157a338
12718ab400
1341072622
1426008048
1517724960
hexf42a680

256026240 has 96 divisors (see below), whose sum is σ = 884110500. Its totient is φ = 68272128.

The previous prime is 256026233. The next prime is 256026259. The reversal of 256026240 is 42620652.

256026240 is a `hidden beast` number, since 2 + 560 + 2 + 62 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 251666496 + 4359744 = 15864^2 + 2088^2 .

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

256026240 is a modest number, since divided by 26240 gives 2560 as remainder.

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 11 ways as a sum of consecutive naturals, for example, 16465 + ... + 27984.

Almost surely, 2256026240 is an apocalyptic number.

256026240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256026240 is an abundant number, since it is smaller than the sum of its proper divisors (628084260).

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

256026240 is a wasteful number, since it uses less digits than its factorization.

256026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44474 (or 44459 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 256026240 is about 16000.8199789886. The cubic root of 256026240 is about 634.9821145271.

Adding to 256026240 its reverse (42620652), we get a palindrome (298646892).

The spelling of 256026240 in words is "two hundred fifty-six million, twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 44449 88898 133347 177796 222245 266694 355592 400041 444490 533388 666735 711184 800082 888980 1066776 1333470 1422368 1600164 1777960 2000205 2133552 2666940 2844736 3200328 3555920 4000410 4267104 5333880 5689472 6400656 7111840 8000820 8534208 10667760 12801312 14223680 16001640 17068416 21335520 25602624 28447360 32003280 42671040 51205248 64006560 85342080 128013120 256026240