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5973682208 = 2513210512
BaseRepresentation
bin1011001000000111…
…10010100000100000
3120102022112111110012
411210003302200200
544213230312313
62424432424052
7301014314054
oct54403624040
916368474405
105973682208
112595a9594a
1211a86a8028
137427b2b00
1440951bc64
1524e689da8
hex1640f2820

5973682208 has 54 divisors (see below), whose sum is σ = 12747073437. Its totient is φ = 2754460800.

The previous prime is 5973682201. The next prime is 5973682243. The reversal of 5973682208 is 8022863795.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5107675024 + 866007184 = 71468^2 + 29428^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=54652.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5973682201) 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, 5683283 + ... + 5684333.

Almost surely, 25973682208 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 5973682208

5973682208 is an abundant number, since it is smaller than the sum of its proper divisors (6773391229).

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

5973682208 is an equidigital number, since it uses as much as digits as its factorization.

5973682208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The square root of 5973682208 is about 77289.5996108144. The cubic root of 5973682208 is about 1814.4598876048.

Multiplying 5973682208 by its sum of digits (50), we get a square (298684110400 = 5465202).

The spelling of 5973682208 in words is "five billion, nine hundred seventy-three million, six hundred eighty-two thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1051 1352 2102 2704 4204 5408 8408 13663 16816 27326 33632 54652 109304 177619 218608 355238 437216 710476 1104601 1420952 2209202 2841904 4418404 5683808 8836808 14359813 17673616 28719626 35347232 57439252 114878504 186677569 229757008 373355138 459514016 746710276 1493420552 2986841104 5973682208