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4260433984 = 264121992
BaseRepresentation
bin1111110111110001…
…0001000001000000
3101222220202110201021
43331330101001000
532211132341414
61542431515224
7210402043222
oct37574210100
911886673637
104260433984
1118969a4124
129aa988b14
1352b878371
142c5b88412
1519e06ac24
hexfdf11040

4260433984 has 63 divisors (see below), whose sum is σ = 8709294621. Its totient is φ = 2067816960.

The previous prime is 4260433951. The next prime is 4260433997. The reversal of 4260433984 is 4893340624.

The square root of 4260433984 is 65272.

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., 205291584 + 4055142400 = 14328^2 + 63680^2 .

It is a super-2 number, since 2×42604339842 = 36302595464044224512, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4260433984.

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, 21409117 + ... + 21409315.

Almost surely, 24260433984 is an apocalyptic number.

4260433984 is the 65272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4260433984

4260433984 is an abundant number, since it is smaller than the sum of its proper divisors (4448860637).

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

4260433984 is an frugal number, since it uses more digits than its factorization.

4260433984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 43.

The cubic root of 4260433984 is about 1621.1303882229.

It can be divided in two parts, 4260 and 433984, that added together give a square (438244 = 6622).

The spelling of 4260433984 in words is "four billion, two hundred sixty million, four hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 199 328 398 656 796 1312 1592 1681 2624 3184 3362 6368 6724 8159 12736 13448 16318 26896 32636 39601 53792 65272 79202 107584 130544 158404 261088 316808 334519 522176 633616 669038 1267232 1338076 1623641 2534464 2676152 3247282 5352304 6494564 10704608 12989128 21409216 25978256 51956512 66569281 103913024 133138562 266277124 532554248 1065108496 2130216992 4260433984