Search a number
-
+
2826295296 = 211311193171
BaseRepresentation
bin1010100001110101…
…1101100000000000
321021222011200021120
42220131131200000
521242012422141
61144241152240
7130016053656
oct25035354000
97258150246
102826295296
111220408540
1266a62b680
13360705ba6
141cb50add6
151181d0c66
hexa875d800

2826295296 has 384 divisors, whose sum is σ = 9057484800. Its totient is φ = 774144000.

The previous prime is 2826295289. The next prime is 2826295309. The reversal of 2826295296 is 6925926282.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39806941 + ... + 39807011.

It is an arithmetic number, because the mean of its divisors is an integer number (23587200).

Almost surely, 22826295296 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 2826295296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528742400).

2826295296 is an abundant number, since it is smaller than the sum of its proper divisors (6231189504).

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

2826295296 is a wasteful number, since it uses less digits than its factorization.

2826295296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 2826295296 is about 53162.9127870172. The cubic root of 2826295296 is about 1413.8581682784.

The spelling of 2826295296 in words is "two billion, eight hundred twenty-six million, two hundred ninety-five thousand, two hundred ninety-six".