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4289149920 = 253511273849
BaseRepresentation
bin1111111110100111…
…0011101111100000
3102001220210101120110
43333221303233200
532241010244140
61545335211320
7211201113156
oct37751635740
912056711513
104289149920
111901127900
129b8516b40
135347c0a43
142c99013d6
151a183e380
hexffa73be0

4289149920 has 144 divisors (see below), whose sum is σ = 14850939600. Its totient is φ = 1039779840.

The previous prime is 4289149903. The next prime is 4289149937. The reversal of 4289149920 is 299419824.

It is an interprime number because it is at equal distance from previous prime (4289149903) and next prime (4289149937).

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 4289149920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21156 + ... + 95004.

It is an arithmetic number, because the mean of its divisors is an integer number (103131525).

Almost surely, 24289149920 is an apocalyptic number.

4289149920 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 4289149920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7425469800).

4289149920 is an abundant number, since it is smaller than the sum of its proper divisors (10561789680).

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

4289149920 is a wasteful number, since it uses less digits than its factorization.

4289149920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73889 (or 73870 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 4289149920 is about 65491.6019043663. The cubic root of 4289149920 is about 1624.7644528014.

It can be divided in two parts, 428914 and 9920, that added together give a palindrome (438834).

The spelling of 4289149920 in words is "four billion, two hundred eighty-nine million, one hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 7260 9680 11616 14520 19360 29040 58080 73849 147698 221547 295396 369245 443094 590792 738490 812339 886188 1107735 1181584 1476980 1624678 1772376 2215470 2363168 2437017 2953960 3249356 3544752 4061695 4430940 4874034 5907920 6498712 7089504 8123390 8861880 8935729 9748068 11815840 12185085 12997424 16246780 17723760 17871458 19496136 24370170 25994848 26807187 32493560 35447520 35742916 38992272 44678645 48740340 53614374 64987120 71485832 77984544 89357290 97480680 107228748 129974240 134035935 142971664 178714580 194961360 214457496 268071870 285943328 357429160 389922720 428914992 536143740 714858320 857829984 1072287480 1429716640 2144574960 4289149920