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240855648 = 25311415563
BaseRepresentation
bin11100101101100…
…10101001100000
3121210012201211120
432112302221200
5443124340043
635522212240
75653145025
oct1626625140
9553181746
10240855648
11113a58460
12687b4080
133ab90447
1423db954c
1516229983
hexe5b2a60

240855648 has 96 divisors (see below), whose sum is σ = 706672512. Its totient is φ = 71193600.

The previous prime is 240855623. The next prime is 240855661. The reversal of 240855648 is 846558042.

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

It is a super-2 number, since 2×2408556482 = 116022886346999808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40515 + ... + 46077.

It is an arithmetic number, because the mean of its divisors is an integer number (7361172).

Almost surely, 2240855648 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 240855648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353336256).

240855648 is an abundant number, since it is smaller than the sum of its proper divisors (465816864).

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

240855648 is a wasteful number, since it uses less digits than its factorization.

240855648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 240855648 is about 15519.5247349911. The cubic root of 240855648 is about 622.1841522815.

The spelling of 240855648 in words is "two hundred forty million, eight hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 82 88 96 123 132 164 176 246 264 328 352 451 492 528 656 902 984 1056 1312 1353 1804 1968 2706 3608 3936 5412 5563 7216 10824 11126 14432 16689 21648 22252 33378 43296 44504 61193 66756 89008 122386 133512 178016 183579 228083 244772 267024 367158 456166 489544 534048 684249 734316 912332 979088 1368498 1468632 1824664 1958176 2508913 2736996 2937264 3649328 5017826 5473992 5874528 7298656 7526739 10035652 10947984 15053478 20071304 21895968 30106956 40142608 60213912 80285216 120427824 240855648