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648120496 = 242310317099
BaseRepresentation
bin100110101000011…
…000100010110000
31200011112221011211
4212220120202300
52311404323441
6144151245504
722026635062
oct4650304260
91604487154
10648120496
11302935581
12161079894
13a437666a
1462111732
153bd75a81
hex26a188b0

648120496 has 40 divisors (see below), whose sum is σ = 1323129600. Its totient is φ = 306943296.

The previous prime is 648120479. The next prime is 648120587. The reversal of 648120496 is 694021846.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29355 + ... + 46453.

It is an arithmetic number, because the mean of its divisors is an integer number (33078240).

Almost surely, 2648120496 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 648120496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661564800).

648120496 is an abundant number, since it is smaller than the sum of its proper divisors (675009104).

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

648120496 is a wasteful number, since it uses less digits than its factorization.

648120496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17233 (or 17227 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 648120496 is about 25458.2107776646. The cubic root of 648120496 is about 865.4033762997.

The spelling of 648120496 in words is "six hundred forty-eight million, one hundred twenty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 23 46 92 103 184 206 368 412 824 1648 2369 4738 9476 17099 18952 34198 37904 68396 136792 273584 393277 786554 1573108 1761197 3146216 3522394 6292432 7044788 14089576 28179152 40507531 81015062 162030124 324060248 648120496