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676005824 = 26133372411
BaseRepresentation
bin101000010010110…
…000011111000000
31202010000122122202
4220102300133000
52341024141244
6151025052332
722515645314
oct5022603700
91663018582
10676005824
113176511aa
1216a4870a8
13aa08ac60
1465acdb44
153e53304e
hex284b07c0

676005824 has 56 divisors (see below), whose sum is σ = 1449525168. Its totient is φ = 310947840.

The previous prime is 676005823. The next prime is 676005899. The reversal of 676005824 is 428500676.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676005823) 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 7 ways as a sum of consecutive naturals, for example, 279179 + ... + 281589.

It is an arithmetic number, because the mean of its divisors is an integer number (25884378).

Almost surely, 2676005824 is an apocalyptic number.

676005824 is a gapful number since it is divisible by the number (64) 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 676005824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724762584).

676005824 is an abundant number, since it is smaller than the sum of its proper divisors (773519344).

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

676005824 is a wasteful number, since it uses less digits than its factorization.

676005824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 676005824 is about 26000.1119997588. Note that the first 3 decimals coincide. The cubic root of 676005824 is about 877.6408159228.

The spelling of 676005824 in words is "six hundred seventy-six million, five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 337 416 674 832 1348 2411 2696 4381 4822 5392 8762 9644 10784 17524 19288 21568 31343 35048 38576 62686 70096 77152 125372 140192 154304 250744 280384 501488 812507 1002976 1625014 2005952 3250028 6500056 10562591 13000112 21125182 26000224 42250364 52000448 84500728 169001456 338002912 676005824