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4988525760 = 263254183509
BaseRepresentation
bin1001010010101011…
…01101110011000000
3110212122210100212100
410221111231303000
540204030311020
62143001230400
7234422524611
oct45125556300
913778710770
104988525760
11212a990269
12b72792400
13616671cba
14354755c08
151e2e3ba90
hex12956dcc0

4988525760 has 336 divisors, whose sum is σ = 17823667680. Its totient is φ = 1279672320.

The previous prime is 4988525743. The next prime is 4988525779. The reversal of 4988525760 is 675258894.

4988525760 is a `hidden beast` number, since 49 + 8 + 8 + 525 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4988525697 and 4988525706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9800386 + ... + 9800894.

It is an arithmetic number, because the mean of its divisors is an integer number (53046630).

Almost surely, 24988525760 is an apocalyptic number.

4988525760 is a gapful number since it is divisible by the number (40) 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 4988525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8911833840).

4988525760 is an abundant number, since it is smaller than the sum of its proper divisors (12835141920).

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

4988525760 is a wasteful number, since it uses less digits than its factorization.

4988525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 4988525760 is about 70629.4963878407. The cubic root of 4988525760 is about 1708.6668998505. Note that the first 3 decimals are identical.

It can be divided in two parts, 498 and 8525760, that added together give a palindrome (8526258).

The spelling of 4988525760 in words is "four billion, nine hundred eighty-eight million, five hundred twenty-five thousand, seven hundred sixty".