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2828317216 = 2561223753
BaseRepresentation
bin1010100010010100…
…1011001000100000
321022002222101211111
42220211023020200
521243022122331
61144352353104
7130042204534
oct25045131040
97262871744
102828317216
11122156964a
1266b245794
13360c632aa
141cb8b5bc4
1511847edb1
hexa894b220

2828317216 has 36 divisors (see below), whose sum is σ = 5661267066. Its totient is φ = 1390917120.

The previous prime is 2828317211. The next prime is 2828317223. The reversal of 2828317216 is 6127138282.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1129228816 + 1699088400 = 33604^2 + 41220^2 .

It is not an unprimeable number, because it can be changed into a prime (2828317211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107196 + ... + 130948.

Almost surely, 22828317216 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 2828317216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830633533).

2828317216 is an abundant number, since it is smaller than the sum of its proper divisors (2832949850).

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

2828317216 is an equidigital number, since it uses as much as digits as its factorization.

2828317216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23885 (or 23816 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 2828317216 is about 53181.9256514843. The cubic root of 2828317216 is about 1414.1952440115.

The spelling of 2828317216 in words is "two billion, eight hundred twenty-eight million, three hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 3721 7442 14884 23753 29768 47506 59536 95012 119072 190024 380048 760096 1448933 2897866 5795732 11591464 23182928 46365856 88384913 176769826 353539652 707079304 1414158608 2828317216