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2893823712 = 253313318311
BaseRepresentation
bin1010110001111100…
…0011111011100000
321110200020110212000
42230133003323200
521411304324322
61155052404000
7131466044553
oct25437037340
97420213760
102893823712
11125554064a
12689176600
133716ba730
141d648869a
1511e0be3ac
hexac7c3ee0

2893823712 has 192 divisors, whose sum is σ = 9383915520. Its totient is φ = 861580800.

The previous prime is 2893823707. The next prime is 2893823719. The reversal of 2893823712 is 2173283982.

It is a super-2 number, since 2×28938237122 = 16748431352266917888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2893823719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344037 + ... + 352347.

It is an arithmetic number, because the mean of its divisors is an integer number (48874560).

Almost surely, 22893823712 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 2893823712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691957760).

2893823712 is an abundant number, since it is smaller than the sum of its proper divisors (6490091808).

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

2893823712 is a wasteful number, since it uses less digits than its factorization.

2893823712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8374 (or 8360 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 2893823712 is about 53794.2721114432. The cubic root of 2893823712 is about 1425.0300536598.

It can be divided in two parts, 28938 and 23712, that added together give a triangular number (52650 = T324).

The spelling of 2893823712 in words is "two billion, eight hundred ninety-three million, eight hundred twenty-three thousand, seven hundred twelve".