Search a number
-
+
48953328840 = 233251331383881
BaseRepresentation
bin101101100101110110…
…001000010011001000
311200100122022202201100
4231211312020103020
51300224023010330
634253331421400
73352052300223
oct554566102310
9150318282640
1048953328840
1119840972569
1295a2454860
134801c71690
1425257145ba
151417a45060
hexb65d884c8

48953328840 has 384 divisors, whose sum is σ = 177526702080. Its totient is φ = 11617689600.

The previous prime is 48953328803. The next prime is 48953328857. The reversal of 48953328840 is 4882335984.

48953328840 is a `hidden beast` number, since 4 + 8 + 9 + 533 + 28 + 84 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55565200 + ... + 55566080.

It is an arithmetic number, because the mean of its divisors is an integer number (462309120).

Almost surely, 248953328840 is an apocalyptic number.

48953328840 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 48953328840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88763351040).

48953328840 is an abundant number, since it is smaller than the sum of its proper divisors (128573373240).

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

48953328840 is a wasteful number, since it uses less digits than its factorization.

48953328840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 48953328840 in words is "forty-eight billion, nine hundred fifty-three million, three hundred twenty-eight thousand, eight hundred forty".