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5240742768 = 24344099887
BaseRepresentation
bin1001110000101111…
…10110001101110000
3111112020101022120000
410320113312031300
541213112232033
62224011150000
7243604402302
oct47027661560
914466338500
105240742768
11224a298678
121023145300
136569ac831
1437a04b972
1520a15ca13
hex1385f6370

5240742768 has 100 divisors (see below), whose sum is σ = 15206854080. Its totient is φ = 1742466816.

The previous prime is 5240742761. The next prime is 5240742769. The reversal of 5240742768 is 8672470425.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5240742761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 525121 + ... + 535007.

Almost surely, 25240742768 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 5240742768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603427040).

5240742768 is an abundant number, since it is smaller than the sum of its proper divisors (9966111312).

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

5240742768 is a wasteful number, since it uses less digits than its factorization.

5240742768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10316 (or 10301 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 5240742768 is about 72392.9745762667. The cubic root of 5240742768 is about 1736.9911854010.

The spelling of 5240742768 in words is "five billion, two hundred forty million, seven hundred forty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 409 432 648 818 1227 1296 1636 2454 3272 3681 4908 6544 7362 9816 9887 11043 14724 19632 19774 22086 29448 29661 33129 39548 44172 58896 59322 66258 79096 88344 88983 118644 132516 158192 176688 177966 237288 265032 266949 355932 474576 530064 533898 711864 800847 1067796 1423728 1601694 2135592 3203388 4043783 4271184 6406776 8087566 12131349 12813552 16175132 24262698 32350264 36394047 48525396 64700528 72788094 97050792 109182141 145576188 194101584 218364282 291152376 327546423 436728564 582304752 655092846 873457128 1310185692 1746914256 2620371384 5240742768