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4240758656 = 27199291877
BaseRepresentation
bin1111110011000100…
…1101011110000000
3101221112201212020102
43330301031132000
532141113234111
61540450101532
7210042565601
oct37461153600
911845655212
104240758656
111886885822
129a427a8a8
13527779964
142c3305da8
1519c48113b
hexfcc4d780

4240758656 has 64 divisors (see below), whose sum is σ = 8907354000. Its totient is φ = 2005549056.

The previous prime is 4240758649. The next prime is 4240758659. The reversal of 4240758656 is 6568570424.

4240758656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 4240758656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240758659) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2258390 + ... + 2260266.

Almost surely, 24240758656 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 4240758656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4453677000).

4240758656 is an abundant number, since it is smaller than the sum of its proper divisors (4666595344).

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

4240758656 is a wasteful number, since it uses less digits than its factorization.

4240758656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 47.

The square root of 4240758656 is about 65121.1076072881. The cubic root of 4240758656 is about 1618.6309950309.

The spelling of 4240758656 in words is "four billion, two hundred forty million, seven hundred fifty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 929 1216 1858 1877 2432 3716 3754 7432 7508 14864 15016 17651 29728 30032 35302 35663 59456 60064 70604 71326 118912 120128 141208 142652 240256 282416 285304 564832 570608 1129664 1141216 1743733 2259328 2282432 3487466 4564864 6974932 13949864 27899728 33130927 55799456 66261854 111598912 132523708 223197824 265047416 530094832 1060189664 2120379328 4240758656