Search a number
-
+
2955397896 = 2332112312353
BaseRepresentation
bin1011000000100111…
…1100101100001000
321121222002202202100
42300021330230020
522023040213041
61205132233400
7133144316253
oct26011745410
97558082670
102955397896
111287277200
126a590b860
13381399069
1420071609a
151246d36b6
hexb027cb08

2955397896 has 216 divisors, whose sum is σ = 9116723070. Its totient is φ = 864230400.

The previous prime is 2955397891. The next prime is 2955397897. The reversal of 2955397896 is 6987935592.

2955397896 is a `hidden beast` number, since 2 + 9 + 5 + 539 + 7 + 8 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2616322500 + 339075396 = 51150^2 + 18414^2 .

Its product of digits (36741600) is a multiple of the sum of its prime divisors (400).

It is not an unprimeable number, because it can be changed into a prime (2955397891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 8372056 + ... + 8372408.

Almost surely, 22955397896 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 2955397896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558361535).

2955397896 is an abundant number, since it is smaller than the sum of its proper divisors (6161325174).

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

2955397896 is a wasteful number, since it uses less digits than its factorization.

2955397896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 400 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 63.

The square root of 2955397896 is about 54363.5714058596. The cubic root of 2955397896 is about 1435.0663683404.

It can be divided in two parts, 29553 and 97896, that added together give a square (127449 = 3572).

The spelling of 2955397896 in words is "two billion, nine hundred fifty-five million, three hundred ninety-seven thousand, eight hundred ninety-six".