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4252774752 = 25345927809
BaseRepresentation
bin1111110101111100…
…0011000101100000
3101222101100100020000
43331133003011200
532202202243002
61541555420000
7210246663132
oct37537030540
911871310200
104252774752
111892642686
129a82b4600
1352a0c6085
142c4b53052
1519d55661c
hexfd7c3160

4252774752 has 120 divisors (see below), whose sum is σ = 12719737800. Its totient is φ = 1393514496.

The previous prime is 4252774751. The next prime is 4252774753. The reversal of 4252774752 is 2574772524.

4252774752 is a `hidden beast` number, since 4 + 2 + 527 + 74 + 7 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (4252774751) and next prime (4252774753).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4252774698 and 4252774707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4252774751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139024 + ... + 166832.

It is an arithmetic number, because the mean of its divisors is an integer number (105997815).

Almost surely, 24252774752 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 4252774752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6359868900).

4252774752 is an abundant number, since it is smaller than the sum of its proper divisors (8466963048).

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

4252774752 is a wasteful number, since it uses less digits than its factorization.

4252774752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27890 (or 27873 counting only the distinct ones).

The product of its digits is 1097600, while the sum is 45.

The square root of 4252774752 is about 65213.3019559660. The cubic root of 4252774752 is about 1620.1583384330.

The spelling of 4252774752 in words is "four billion, two hundred fifty-two million, seven hundred seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 81 96 108 118 144 162 177 216 236 288 324 354 432 472 531 648 708 864 944 1062 1296 1416 1593 1888 2124 2592 2832 3186 4248 4779 5664 6372 8496 9558 12744 16992 19116 25488 27809 38232 50976 55618 76464 83427 111236 152928 166854 222472 250281 333708 444944 500562 667416 750843 889888 1001124 1334832 1501686 1640731 2002248 2252529 2669664 3003372 3281462 4004496 4505058 4922193 6006744 6562924 8008992 9010116 9844386 12013488 13125848 14766579 18020232 19688772 24026976 26251696 29533158 36040464 39377544 44299737 52503392 59066316 72080928 78755088 88599474 118132632 132899211 157510176 177198948 236265264 265798422 354397896 472530528 531596844 708795792 1063193688 1417591584 2126387376 4252774752