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648803961 = 321314937217
BaseRepresentation
bin100110101010111…
…111011001111001
31200012211122201100
4212222333121321
52312043211321
6144214042013
722035512511
oct4652773171
91605748640
10648803961
11303262023
12161349309
13a4555790
146224c841
153be5d326
hex26abf679

648803961 has 24 divisors (see below), whose sum is σ = 1016051400. Its totient is φ = 396573696.

The previous prime is 648803951. The next prime is 648803983. The reversal of 648803961 is 169308846.

It can be written as a sum of positive squares in 4 ways, for example, as 1610361 + 647193600 = 1269^2 + 25440^2 .

It is not a de Polignac number, because 648803961 - 27 = 648803833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (648803951) 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, 1176 + ... + 36041.

It is an arithmetic number, because the mean of its divisors is an integer number (42335475).

Almost surely, 2648803961 is an apocalyptic number.

It is an amenable number.

648803961 is a deficient number, since it is larger than the sum of its proper divisors (367247439).

648803961 is a wasteful number, since it uses less digits than its factorization.

648803961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37385 (or 37382 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 648803961 is about 25471.6305131807. The cubic root of 648803961 is about 865.7074684835.

It can be divided in two parts, 648 and 803961, that added together give a square (804609 = 8972).

The spelling of 648803961 in words is "six hundred forty-eight million, eight hundred three thousand, nine hundred sixty-one".

Divisors: 1 3 9 13 39 117 149 447 1341 1937 5811 17433 37217 111651 334953 483821 1451463 4354389 5545333 16635999 49907997 72089329 216267987 648803961