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4286968320 = 2935599461
BaseRepresentation
bin1111111110000101…
…1111001000000000
3102001202200112222110
43333201133020000
532234430441240
61545220335320
7211143425625
oct37741371000
912052615873
104286968320
1118aa977828
129b7844540
13534208a5b
142c94d434c
151a155cc80
hexff85f200

4286968320 has 160 divisors (see below), whose sum is σ = 13938661440. Its totient is φ = 1123696640.

The previous prime is 4286968307. The next prime is 4286968327. The reversal of 4286968320 is 238696824.

4286968320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4286968320.

It is not an unprimeable number, because it can be changed into a prime (4286968327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448390 + ... + 457850.

It is an arithmetic number, because the mean of its divisors is an integer number (87116634).

Almost surely, 24286968320 is an apocalyptic number.

4286968320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4286968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6969330720).

4286968320 is an abundant number, since it is smaller than the sum of its proper divisors (9651693120).

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

4286968320 is an equidigital number, since it uses as much as digits as its factorization.

4286968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9546 (or 9530 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 4286968320 is about 65474.9442153256. The cubic root of 4286968320 is about 1624.4889368810.

The spelling of 4286968320 in words is "four billion, two hundred eighty-six million, nine hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 128 160 177 192 236 240 256 295 320 354 384 472 480 512 590 640 708 768 885 944 960 1180 1280 1416 1536 1770 1888 1920 2360 2560 2832 3540 3776 3840 4720 5664 7080 7552 7680 9440 9461 11328 14160 15104 18880 18922 22656 28320 28383 30208 37760 37844 45312 47305 56640 56766 75520 75688 90624 94610 113280 113532 141915 151040 151376 189220 226560 227064 283830 302752 378440 453120 454128 558199 567660 605504 756880 908256 1116398 1135320 1211008 1513760 1674597 1816512 2232796 2270640 2422016 2790995 3027520 3349194 3633024 4465592 4541280 4844032 5581990 6055040 6698388 7266048 8372985 8931184 9082560 11163980 12110080 13396776 14532096 16745970 17862368 18165120 22327960 24220160 26793552 33491940 35724736 36330240 44655920 53587104 66983880 71449472 72660480 89311840 107174208 133967760 142898944 178623680 214348416 267935520 285797888 357247360 428696832 535871040 714494720 857393664 1071742080 1428989440 2143484160 4286968320