Search a number
-
+
2868506784 = 2534111371109
BaseRepresentation
bin1010101011111001…
…1111000010100000
321101220121020120000
42222332133002200
521333314204114
61152350020000
7131040622353
oct25276370240
97356536500
102868506784
111242219670
126807a7600
133693951c0
141d2d7829a
1511bc6ce09
hexaaf9f0a0

2868506784 has 480 divisors, whose sum is σ = 10142858880. Its totient is φ = 783820800.

The previous prime is 2868506731. The next prime is 2868506789. The reversal of 2868506784 is 4876058682.

2868506784 is a `hidden beast` number, since 2 + 8 + 68 + 506 + 78 + 4 = 666.

2868506784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2868506784.

It is not an unprimeable number, because it can be changed into a prime (2868506789) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26316522 + ... + 26316630.

It is an arithmetic number, because the mean of its divisors is an integer number (21130956).

Almost surely, 22868506784 is an apocalyptic number.

2868506784 is a gapful number since it is divisible by the number (24) 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 2868506784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071429440).

2868506784 is an abundant number, since it is smaller than the sum of its proper divisors (7274352096).

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

2868506784 is a wasteful number, since it uses less digits than its factorization.

2868506784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 2868506784 is about 53558.4426958066. The cubic root of 2868506784 is about 1420.8621993862.

The spelling of 2868506784 in words is "two billion, eight hundred sixty-eight million, five hundred six thousand, seven hundred eighty-four".