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4789747264 = 264122112
BaseRepresentation
bin1000111010111110…
…11011111001000000
3110100210202101000211
410131133123321000
534302133403024
62111140523504
7226460115511
oct43537337100
913323671024
104789747264
112038762015
12b180b0594
135b44249a3
143361b0a08
151d0774594
hex11d7dbe40

4789747264 has 63 divisors (see below), whose sum is σ = 9788519793. Its totient is φ = 2325388800.

The previous prime is 4789747247. The next prime is 4789747343. The reversal of 4789747264 is 4627479874.

The square root of 4789747264 is 69208.

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., 230796864 + 4558950400 = 15192^2 + 67520^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4789747199 and 4789747208.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22700119 + ... + 22700329.

Almost surely, 24789747264 is an apocalyptic number.

4789747264 is the 69208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4789747264

4789747264 is an abundant number, since it is smaller than the sum of its proper divisors (4998772529).

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

4789747264 is an frugal number, since it uses more digits than its factorization.

4789747264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 254 counting only the distinct ones).

The product of its digits is 18966528, while the sum is 58.

The cubic root of 4789747264 is about 1685.6634338335.

The spelling of 4789747264 in words is "four billion, seven hundred eighty-nine million, seven hundred forty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 211 328 422 656 844 1312 1681 1688 2624 3362 3376 6724 6752 8651 13448 13504 17302 26896 34604 44521 53792 69208 89042 107584 138416 178084 276832 354691 356168 553664 709382 712336 1418764 1424672 1825361 2837528 2849344 3650722 5675056 7301444 11350112 14602888 22700224 29205776 58411552 74839801 116823104 149679602 299359204 598718408 1197436816 2394873632 4789747264