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4242303856 = 247671135003
BaseRepresentation
bin1111110011011100…
…0110101101110000
3101221122122100212001
43330313012231300
532142012210411
61540543143344
7210061662550
oct37467065560
911848570761
104242303856
11188774074a
129a48a4b54
13527b9b08b
142c35c9160
1519c688dc1
hexfcdc6b70

4242303856 has 80 divisors (see below), whose sum is σ = 9620169984. Its totient is φ = 1774789632.

The previous prime is 4242303853. The next prime is 4242303887. The reversal of 4242303856 is 6583032424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242303851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 845451 + ... + 850453.

Almost surely, 24242303856 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 4242303856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810084992).

4242303856 is an abundant number, since it is smaller than the sum of its proper divisors (5377866128).

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

4242303856 is a wasteful number, since it uses less digits than its factorization.

4242303856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198 (or 5192 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The square root of 4242303856 is about 65132.9705755848. The cubic root of 4242303856 is about 1618.8275640179.

The spelling of 4242303856 in words is "four billion, two hundred forty-two million, three hundred three thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 113 134 226 268 452 469 536 791 904 938 1072 1582 1808 1876 3164 3752 5003 6328 7504 7571 10006 12656 15142 20012 30284 35021 40024 52997 60568 70042 80048 105994 121136 140084 211988 280168 335201 423976 560336 565339 670402 847952 1130678 1340804 2261356 2346407 2681608 3957373 4522712 4692814 5363216 7914746 9045424 9385628 15829492 18771256 31658984 37542512 37877713 63317968 75755426 151510852 265143991 303021704 530287982 606043408 1060575964 2121151928 4242303856