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4284207928 = 23711131912801
BaseRepresentation
bin1111111101011011…
…1101001100111000
3102001120111022102201
43333112331030320
532233224123203
61545041235544
7211111111060
oct37726751470
912046438381
104284207928
1118a9361910
129b6932bb4
135337804a0
142c8db63a0
151a11b4e1d
hexff5bd338

4284207928 has 128 divisors (see below), whose sum is σ = 10845757440. Its totient is φ = 1532160000.

The previous prime is 4284207901. The next prime is 4284207959. The reversal of 4284207928 is 8297024824.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1528128 + ... + 1530928.

It is an arithmetic number, because the mean of its divisors is an integer number (84732480).

Almost surely, 24284207928 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 4284207928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5422878720).

4284207928 is an abundant number, since it is smaller than the sum of its proper divisors (6561549512).

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

4284207928 is a wasteful number, since it uses less digits than its factorization.

4284207928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 4284207928 is about 65453.8610625836. The cubic root of 4284207928 is about 1624.1401908874.

It can be divided in two parts, 4284 and 207928, that added together give a palindrome (212212).

The spelling of 4284207928 in words is "four billion, two hundred eighty-four million, two hundred seven thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 191 286 308 364 382 572 616 728 764 1001 1144 1337 1528 2002 2101 2483 2674 2801 4004 4202 4966 5348 5602 8008 8404 9932 10696 11204 14707 16808 17381 19607 19864 22408 27313 29414 30811 34762 36413 39214 54626 58828 61622 69524 72826 78428 109252 117656 123244 139048 145652 156856 191191 215677 218504 246488 254891 291304 382382 400543 431354 509782 534991 764764 801086 862708 1019564 1069982 1529528 1602172 1725416 2039128 2139964 2803801 3204344 3744937 4279928 5607602 5884901 6954883 7489874 11215204 11769802 13909766 14979748 22430408 23539604 27819532 29959496 41194307 47079208 48684181 55639064 76503713 82388614 97368362 153007426 164777228 194736724 306014852 329554456 389473448 535525991 612029704 1071051982 2142103964 4284207928