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4250518416 = 243418112
BaseRepresentation
bin1111110101011001…
…1100001110010000
3101222020002201010000
43331112130032100
532201113042131
61541435210000
7210221544654
oct37526341620
911866081100
104250518416
111891341441
129a75a6900
135297b6071
142c4726a64
1519d25cce6
hexfd59c390

4250518416 has 75 divisors (see below), whose sum is σ = 12309030283. Its totient is φ = 1416057120.

The previous prime is 4250518399. The next prime is 4250518439. The reversal of 4250518416 is 6148150524.

It is a happy number.

The square root of 4250518416 is 65196.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 2346151 + ... + 2347961.

Almost surely, 24250518416 is an apocalyptic number.

4250518416 is the 65196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4250518416

4250518416 is an abundant number, since it is smaller than the sum of its proper divisors (8058511867).

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

4250518416 is an frugal number, since it uses more digits than its factorization.

4250518416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The cubic root of 4250518416 is about 1619.8717593960.

Multiplying 4250518416 by its sum of digits (36), we get a square (153018662976 = 3911762).

4250518416 divided by its sum of digits (36) gives a square (118069956 = 108662).

The spelling of 4250518416 in words is "four billion, two hundred fifty million, five hundred eighteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1811 3622 5433 7244 10866 14488 16299 21732 28976 32598 43464 48897 65196 86928 97794 130392 146691 195588 260784 293382 391176 586764 782352 1173528 2347056 3279721 6559442 9839163 13118884 19678326 26237768 29517489 39356652 52475536 59034978 78713304 88552467 118069956 157426608 177104934 236139912 265657401 354209868 472279824 531314802 708419736 1062629604 1416839472 2125259208 4250518416