Search a number
-
+
2852656128 = 21032726317
BaseRepresentation
bin1010101000001000…
…0001010000000000
321100210202221112200
42222002001100000
521320234444003
61151022153200
7130456114500
oct25202012000
97323687480
102852656128
111234282853
12677422800
1336600560a
141d0c0da00
1511a68b6a3
hexaa081400

2852656128 has 198 divisors, whose sum is σ = 9583312986. Its totient is φ = 814915584.

The previous prime is 2852656123. The next prime is 2852656141. The reversal of 2852656128 is 8216562582.

It is a happy number.

2852656128 is a `hidden beast` number, since 2 + 8 + 5 + 26 + 5 + 612 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2472873984 + 379782144 = 49728^2 + 19488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2852656123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 448426 + ... + 454742.

Almost surely, 22852656128 is an apocalyptic number.

2852656128 is a gapful number since it is divisible by the number (28) 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 2852656128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791656493).

2852656128 is an abundant number, since it is smaller than the sum of its proper divisors (6730656858).

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

2852656128 is a wasteful number, since it uses less digits than its factorization.

2852656128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6357 (or 6329 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 2852656128 is about 53410.2623846766. The cubic root of 2852656128 is about 1418.2402535004.

The spelling of 2852656128 in words is "two billion, eight hundred fifty-two million, six hundred fifty-six thousand, one hundred twenty-eight".