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4852000768 = 21113717293
BaseRepresentation
bin1001000010011001…
…11010100000000000
3110112010220011210011
410201030322200000
534414103011033
62121243114304
7231144216556
oct44114724000
913463804704
104852000768
11206a911a9a
12b34b12994
135c42b0594
14340577bd6
151d5e6eccd
hex12133a800

4852000768 has 48 divisors (see below), whose sum is σ = 9773012340. Its totient is φ = 2408153088.

The previous prime is 4852000763. The next prime is 4852000771. The reversal of 4852000768 is 8670002584.

It can be written as a sum of positive squares in 2 ways, for example, as 4563272704 + 288728064 = 67552^2 + 16992^2 .

It is a super-2 number, since 2×48520007682 = 47083822905345179648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4852000768.

It is not an unprimeable number, because it can be changed into a prime (4852000763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 271930 + ... + 289222.

Almost surely, 24852000768 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 4852000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4886506170).

4852000768 is an abundant number, since it is smaller than the sum of its proper divisors (4921011572).

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

4852000768 is a wasteful number, since it uses less digits than its factorization.

4852000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17452 (or 17432 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 4852000768 is about 69656.3045818539. The cubic root of 4852000768 is about 1692.9350125722.

The spelling of 4852000768 in words is "four billion, eight hundred fifty-two million, seven hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 128 137 256 274 512 548 1024 1096 2048 2192 4384 8768 17293 17536 34586 35072 69172 70144 138344 140288 276688 280576 553376 1106752 2213504 2369141 4427008 4738282 8854016 9476564 17708032 18953128 35416064 37906256 75812512 151625024 303250048 606500096 1213000192 2426000384 4852000768