Search a number
-
+
5278347648 = 2732723149191
BaseRepresentation
bin1001110101001110…
…10011000110000000
3111121212010211202100
410322213103012000
541302224111043
62231433150400
7244542133440
oct47247230600
914555124670
105278347648
112269542792
12103385b400
13661718142
1438103a120
1520d5d9cd3
hex13a9d3180

5278347648 has 384 divisors, whose sum is σ = 18330624000. Its totient is φ = 1425346560.

The previous prime is 5278347647. The next prime is 5278347661. The reversal of 5278347648 is 8467438725.

5278347648 is a `hidden beast` number, since 52 + 7 + 83 + 476 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 5278347594 and 5278347603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5278347647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27635233 + ... + 27635423.

It is an arithmetic number, because the mean of its divisors is an integer number (47736000).

Almost surely, 25278347648 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 5278347648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9165312000).

5278347648 is an abundant number, since it is smaller than the sum of its proper divisors (13052276352).

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

5278347648 is a wasteful number, since it uses less digits than its factorization.

5278347648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 375 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The square root of 5278347648 is about 72652.2377356679. The cubic root of 5278347648 is about 1741.1358734802.

The spelling of 5278347648 in words is "five billion, two hundred seventy-eight million, three hundred forty-seven thousand, six hundred forty-eight".