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4842489744 = 243419332
BaseRepresentation
bin1001000001010001…
…01000011110010000
3110111110222222010000
410200220220132100
534404134132434
62120303210000
7231000324621
oct44050503620
913443888100
104842489744
112065506244
12b318a6900
135c2330461
1433d1bda48
151d51e1b99
hex120a28790

4842489744 has 75 divisors (see below), whose sum is σ = 14022824673. Its totient is φ = 1613328192.

The previous prime is 4842489731. The next prime is 4842489749. The reversal of 4842489744 is 4479842484.

The square root of 4842489744 is 69588.

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

It can be written as a sum of positive squares in only one way, i.e., 3297056400 + 1545433344 = 57420^2 + 39312^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4842489749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2504202 + ... + 2506134.

Almost surely, 24842489744 is an apocalyptic number.

4842489744 is the 69588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4842489744

4842489744 is an abundant number, since it is smaller than the sum of its proper divisors (9180334929).

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

4842489744 is an frugal number, since it uses more digits than its factorization.

4842489744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 1938 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The cubic root of 4842489744 is about 1691.8281098961.

The spelling of 4842489744 in words is "four billion, eight hundred forty-two million, four hundred eighty-nine thousand, seven hundred forty-four".

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 1933 3866 5799 7732 11598 15464 17397 23196 30928 34794 46392 52191 69588 92784 104382 139176 156573 208764 278352 313146 417528 626292 835056 1252584 2505168 3736489 7472978 11209467 14945956 22418934 29891912 33628401 44837868 59783824 67256802 89675736 100885203 134513604 179351472 201770406 269027208 302655609 403540812 538054416 605311218 807081624 1210622436 1614163248 2421244872 4842489744