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4882096384 = 281123972
BaseRepresentation
bin1001000101111111…
…01110000100000000
3110121020112012012121
410202333232010000
534444304041014
62124240134024
7231661064104
oct44277560400
913536465177
104882096384
1120858a8300
12b43007314
135ca5b9c39
1434456d904
151d8917124
hex122fee100

4882096384 has 81 divisors (see below), whose sum is σ = 10738629741. Its totient is φ = 2213544960.

The previous prime is 4882096381. The next prime is 4882096393. The reversal of 4882096384 is 4836902884.

The square root of 4882096384 is 69872.

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., 3271840000 + 1610256384 = 57200^2 + 40128^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4882096381) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12297274 + ... + 12297670.

Almost surely, 24882096384 is an apocalyptic number.

4882096384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4882096384 is the 69872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4882096384

4882096384 is an abundant number, since it is smaller than the sum of its proper divisors (5856533357).

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

4882096384 is an frugal number, since it uses more digits than its factorization.

4882096384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 52.

The cubic root of 4882096384 is about 1696.4280692338.

The spelling of 4882096384 in words is "four billion, eight hundred eighty-two million, ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 397 484 704 794 968 1408 1588 1936 2816 3176 3872 4367 6352 7744 8734 12704 15488 17468 25408 30976 34936 48037 50816 69872 96074 101632 139744 157609 192148 279488 315218 384296 558976 630436 768592 1117952 1260872 1537184 1733699 2521744 3074368 3467398 5043488 6148736 6934796 10086976 12297472 13869592 19070689 20173952 27739184 38141378 40347904 55478368 76282756 110956736 152565512 221913472 305131024 443826944 610262048 1220524096 2441048192 4882096384