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648487020 = 223571191797
BaseRepresentation
bin100110101001110…
…010000001101100
31200012020112221210
4212221302001230
52312003041040
6144203154420
722033022466
oct4651620154
91605215853
10648487020
11303065995
12161215a10
13a447443c
14621a9136
153bde9480
hex26a7206c

648487020 has 96 divisors (see below), whose sum is σ = 1853300736. Its totient is φ = 169388800.

The previous prime is 648487003. The next prime is 648487027. The reversal of 648487020 is 20784846.

It is a self number, because there is not a number n which added to its sum of digits gives 648487020.

It is not an unprimeable number, because it can be changed into a prime (648487027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 813262 + ... + 814058.

It is an arithmetic number, because the mean of its divisors is an integer number (19305216).

Almost surely, 2648487020 is an apocalyptic number.

648487020 is a gapful number since it is divisible by the number (60) 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 648487020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926650368).

648487020 is an abundant number, since it is smaller than the sum of its proper divisors (1204813716).

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

648487020 is a wasteful number, since it uses less digits than its factorization.

648487020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 648487020 is about 25465.4083022440. The cubic root of 648487020 is about 865.5664793726.

The spelling of 648487020 in words is "six hundred forty-eight million, four hundred eighty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 191 213 284 355 382 426 573 710 764 797 852 955 1065 1146 1420 1594 1910 2130 2292 2391 2865 3188 3820 3985 4260 4782 5730 7970 9564 11460 11955 13561 15940 23910 27122 40683 47820 54244 56587 67805 81366 113174 135610 152227 162732 169761 203415 226348 271220 282935 304454 339522 406830 456681 565870 608908 679044 761135 813660 848805 913362 1131740 1522270 1697610 1826724 2283405 3044540 3395220 4566810 9133620 10808117 21616234 32424351 43232468 54040585 64848702 108081170 129697404 162121755 216162340 324243510 648487020