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628071661 = 72411991571
BaseRepresentation
bin100101011011111…
…001110011101101
31121202211100100101
4211123321303231
52241241243121
6142153431101
721364343500
oct4533716355
91552740311
10628071661
112a2591598
1215640b491
13a0176c49
145d5b3137
153a215491
hex256f9ced

628071661 has 24 divisors (see below), whose sum is σ = 752673600. Its totient is φ = 522244800.

The previous prime is 628071637. The next prime is 628071679. The reversal of 628071661 is 166170826.

It is not a de Polignac number, because 628071661 - 27 = 628071533 is a prime.

It is a super-3 number, since 3×6280716613 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 628071661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628071161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399006 + ... + 400576.

It is an arithmetic number, because the mean of its divisors is an integer number (31361400).

Almost surely, 2628071661 is an apocalyptic number.

It is an amenable number.

628071661 is a deficient number, since it is larger than the sum of its proper divisors (124601939).

628071661 is a wasteful number, since it uses less digits than its factorization.

628071661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 628071661 is about 25061.3579241030. The cubic root of 628071661 is about 856.3863427123.

The spelling of 628071661 in words is "six hundred twenty-eight million, seventy-one thousand, six hundred sixty-one".

Divisors: 1 7 41 49 199 287 1393 1571 2009 8159 9751 10997 57113 64411 76979 312629 399791 450877 2188403 3156139 12817789 15318821 89724523 628071661