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4052101248 = 27331390191
BaseRepresentation
bin1111000110000110…
…0010100010000000
3101110101202001221000
43301201202202000
531244314214443
61510030332000
7202262202156
oct36141424200
911411661830
104052101248
11179a33a708
1295105a000
134c7664360
142a62373d6
1518ab178d3
hexf1862880

4052101248 has 128 divisors (see below), whose sum is σ = 12879417600. Its totient is φ = 1246786560.

The previous prime is 4052101211. The next prime is 4052101303. The reversal of 4052101248 is 8421012504.

4052101248 is a `hidden beast` number, since 405 + 2 + 10 + 1 + 248 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168 + ... + 90023.

It is an arithmetic number, because the mean of its divisors is an integer number (100620450).

Almost surely, 24052101248 is an apocalyptic number.

4052101248 is a gapful number since it is divisible by the number (48) 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 4052101248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6439708800).

4052101248 is an abundant number, since it is smaller than the sum of its proper divisors (8827316352).

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

4052101248 is a wasteful number, since it uses less digits than its factorization.

4052101248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90227 (or 90209 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4052101248 is about 63656.1171294637. The cubic root of 4052101248 is about 1594.2634739147.

The spelling of 4052101248 in words is "four billion, fifty-two million, one hundred one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 44928 90191 180382 270573 360764 541146 721528 811719 1082292 1172483 1443056 1623438 2164584 2344966 2435157 2886112 3246876 3517449 4329168 4689932 4870314 5772224 6493752 7034898 8658336 9379864 9740628 10552347 11544448 12987504 14069796 17316672 18759728 19481256 21104694 25975008 28139592 31657041 34633344 37519456 38962512 42209388 51950016 56279184 63314082 75038912 77925024 84418776 103900032 112558368 126628164 150077824 155850048 168837552 225116736 253256328 311700096 337675104 450233472 506512656 675350208 1013025312 1350700416 2026050624 4052101248