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256246240 = 2552396701
BaseRepresentation
bin11110100011000…
…00000111100000
3122212011122202111
433101200013200
51011044334430
641232125104
76231025405
oct1721400740
9585148674
10256246240
1112170a658
1271996794
134111b7c3
14260642ac
1517769c2a
hexf4601e0

256246240 has 48 divisors (see below), whose sum is σ = 608005440. Its totient is φ = 102054400.

The previous prime is 256246229. The next prime is 256246327. The reversal of 256246240 is 42642652.

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 7 ways as a sum of consecutive naturals, for example, 34890 + ... + 41590.

It is an arithmetic number, because the mean of its divisors is an integer number (12666780).

Almost surely, 2256246240 is an apocalyptic number.

256246240 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 256246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304002720).

256246240 is an abundant number, since it is smaller than the sum of its proper divisors (351759200).

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

256246240 is a wasteful number, since it uses less digits than its factorization.

256246240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6955 (or 6947 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 256246240 is about 16007.6931504824. The cubic root of 256246240 is about 635.1639397329.

Adding to 256246240 its reverse (42642652), we get a palindrome (298888892).

The spelling of 256246240 in words is "two hundred fifty-six million, two hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 239 478 956 1195 1912 2390 3824 4780 6701 7648 9560 13402 19120 26804 33505 38240 53608 67010 107216 134020 214432 268040 536080 1072160 1601539 3203078 6406156 8007695 12812312 16015390 25624624 32030780 51249248 64061560 128123120 256246240