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7252766240 = 255353128413
BaseRepresentation
bin1101100000100110…
…00110111000100000
3200201110100200212212
412300103012320200
5104323202004430
63155403541252
7344505332036
oct66023067040
920643320785
107252766240
113091aa7695
1214a4b2a828
138b77a6775
144cb356556
152c6ae7b95
hex1b04c6e20

7252766240 has 48 divisors (see below), whose sum is σ = 17183334168. Its totient is φ = 2892865536.

The previous prime is 7252766239. The next prime is 7252766243. The reversal of 7252766240 is 426672527.

It can be written as a sum of positive squares in 4 ways, for example, as 6039776656 + 1212989584 = 77716^2 + 34828^2 .

It is not an unprimeable number, because it can be changed into a prime (7252766243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7727 + ... + 120686.

Almost surely, 27252766240 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 7252766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8591667084).

7252766240 is an abundant number, since it is smaller than the sum of its proper divisors (9930567928).

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

7252766240 is a wasteful number, since it uses less digits than its factorization.

7252766240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128781 (or 128773 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The square root of 7252766240 is about 85163.1742010595. The cubic root of 7252766240 is about 1935.6844447331.

The spelling of 7252766240 in words is "seven billion, two hundred fifty-two million, seven hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 353 706 1412 1765 2824 3530 5648 7060 11296 14120 28240 56480 128413 256826 513652 642065 1027304 1284130 2054608 2568260 4109216 5136520 10273040 20546080 45329789 90659578 181319156 226648945 362638312 453297890 725276624 906595780 1450553248 1813191560 3626383120 7252766240