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2700257296 = 2411211812
BaseRepresentation
bin1010000011110010…
…1010100000010000
320222012000021122111
42200330222200100
521012231213141
61123535515104
7123625544152
oct24074524020
96865007574
102700257296
111166252300
12634388a94
133405768a9
141b889cad2
1510c0d6381
hexa0f2a810

2700257296 has 45 divisors (see below), whose sum is σ = 5755472989. Its totient is φ = 1226350400.

The previous prime is 2700257227. The next prime is 2700257297. The reversal of 2700257296 is 6927520072.

The square root of 2700257296 is 51964.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2476455696 + 223801600 = 49764^2 + 14960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2700257297) 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 8 ways as a sum of consecutive naturals, for example, 2285826 + ... + 2287006.

Almost surely, 22700257296 is an apocalyptic number.

2700257296 is the 51964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2700257296

2700257296 is an abundant number, since it is smaller than the sum of its proper divisors (3055215693).

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

2700257296 is an equidigital number, since it uses as much as digits as its factorization.

2700257296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The cubic root of 2700257296 is about 1392.5208806137.

The spelling of 2700257296 in words is "two billion, seven hundred million, two hundred fifty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1181 1936 2362 4724 9448 12991 18896 25982 51964 103928 142901 207856 285802 571604 1143208 1394761 2286416 2789522 5579044 11158088 15342371 22316176 30684742 61369484 122738968 168766081 245477936 337532162 675064324 1350128648 2700257296