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2972866576 = 244323172
BaseRepresentation
bin1011000100110010…
…0101100000010000
321200011222021021111
42301030211200100
522042023212301
61210554503104
7133445643331
oct26114454020
97604867244
102972866576
111296118729
126ab734a94
13384ba4264
14202b82288
15125ed4551
hexb1325810

2972866576 has 45 divisors (see below), whose sum is σ = 5915657181. Its totient is φ = 1447285056.

The previous prime is 2972866511. The next prime is 2972866577. The reversal of 2972866576 is 6756682792.

The square root of 2972866576 is 54524.

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., 166410000 + 2806456576 = 12900^2 + 52976^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2972866576.

It is not an unprimeable number, because it can be changed into a prime (2972866577) 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, 9377970 + ... + 9378286.

Almost surely, 22972866576 is an apocalyptic number.

2972866576 is the 54524-th square number.

It is an amenable number.

2972866576 is a deficient number, since it is larger than the sum of its proper divisors (2942790605).

2972866576 is an frugal number, since it uses more digits than its factorization.

2972866576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 362 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 58.

The cubic root of 2972866576 is about 1437.8882652887. Note that the first 3 decimals are identical.

The spelling of 2972866576 in words is "two billion, nine hundred seventy-two million, eight hundred sixty-six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 43 86 172 317 344 634 688 1268 1849 2536 3698 5072 7396 13631 14792 27262 29584 54524 100489 109048 200978 218096 401956 586133 803912 1172266 1607824 2344532 4321027 4689064 8642054 9378128 17284108 34568216 69136432 185804161 371608322 743216644 1486433288 2972866576