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648048096 = 25322250167
BaseRepresentation
bin100110101000000…
…110110111100000
31200011102020212100
4212220012313200
52311400014341
6144145530400
722026214023
oct4650066740
91604366770
10648048096
11302896143
12161043a00
13a434c717
14620d31ba
153bd5e3b6
hex26a06de0

648048096 has 36 divisors (see below), whose sum is σ = 1842887592. Its totient is φ = 216015936.

The previous prime is 648048061. The next prime is 648048097. The reversal of 648048096 is 690840846.

It is a happy number.

648048096 is a `hidden beast` number, since 6 + 4 + 80 + 480 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648048097) 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 5 ways as a sum of consecutive naturals, for example, 1124796 + ... + 1125371.

It is an arithmetic number, because the mean of its divisors is an integer number (51191322).

Almost surely, 2648048096 is an apocalyptic number.

It is an amenable number.

648048096 is an abundant number, since it is smaller than the sum of its proper divisors (1194839496).

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

648048096 is a wasteful number, since it uses less digits than its factorization.

648048096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250183 (or 2250172 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 648048096 is about 25456.7887998467. The cubic root of 648048096 is about 865.3711510484.

It can be divided in two parts, 64804 and 8096, that added together give a square (72900 = 2702).

The spelling of 648048096 in words is "six hundred forty-eight million, forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2250167 4500334 6750501 9000668 13501002 18001336 20251503 27002004 36002672 40503006 54004008 72005344 81006012 108008016 162012024 216016032 324024048 648048096