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4286428032 = 27331615903
BaseRepresentation
bin1111111101111101…
…1011001110000000
3102001201200002211210
43333133123032000
532234311144112
61545201010120
7211136015505
oct37737331600
912051602753
104286428032
1118aa638907
129b7623940
13534079b63
142c93d34ac
151a14a2b3c
hexff7db380

4286428032 has 128 divisors (see below), whose sum is σ = 11947806720. Its totient is φ = 1359820800.

The previous prime is 4286428021. The next prime is 4286428033. The reversal of 4286428032 is 2308246824.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4286428033) 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, 723193 + ... + 729095.

It is an arithmetic number, because the mean of its divisors is an integer number (93342240).

Almost surely, 24286428032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4286428032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5973903360).

4286428032 is an abundant number, since it is smaller than the sum of its proper divisors (7661378688).

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

4286428032 is a wasteful number, since it uses less digits than its factorization.

4286428032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6012 (or 6000 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 4286428032 is about 65470.8181711516. The cubic root of 4286428032 is about 1624.4206890589.

The spelling of 4286428032 in words is "four billion, two hundred eighty-six million, four hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 64 93 96 122 124 128 183 186 192 244 248 366 372 384 488 496 732 744 976 992 1464 1488 1891 1952 1984 2928 2976 3782 3904 3968 5673 5856 5903 5952 7564 7808 11346 11712 11806 11904 15128 17709 22692 23424 23612 30256 35418 45384 47224 60512 70836 90768 94448 121024 141672 181536 182993 188896 242048 283344 360083 363072 365986 377792 548979 566688 720166 726144 731972 755584 1080249 1097958 1133376 1440332 1463944 2160498 2195916 2266752 2880664 2927888 4320996 4391832 5761328 5855776 8641992 8783664 11162573 11522656 11711552 17283984 17567328 22325146 23045312 23423104 33487719 34567968 35134656 44650292 46090624 66975438 69135936 70269312 89300584 133950876 138271872 178601168 267901752 357202336 535803504 714404672 1071607008 1428809344 2143214016 4286428032