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648740880 = 24335300343
BaseRepresentation
bin100110101010110…
…000000000010000
31200012201110012000
4212222300000100
52312034202010
6144212434000
722035130554
oct4652600020
91605643160
10648740880
11303219697
12161318900
13a4532b58
1462233864
153be497c0
hex26ab0010

648740880 has 80 divisors (see below), whose sum is σ = 2234559360. Its totient is φ = 172996992.

The previous prime is 648740879. The next prime is 648740881. The reversal of 648740880 is 88047846.

It is an interprime number because it is at equal distance from previous prime (648740879) and next prime (648740881).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (648740881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148012 + ... + 152331.

It is an arithmetic number, because the mean of its divisors is an integer number (27931992).

Almost surely, 2648740880 is an apocalyptic number.

648740880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

648740880 is an abundant number, since it is smaller than the sum of its proper divisors (1585818480).

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

648740880 is a wasteful number, since it uses less digits than its factorization.

648740880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300365 (or 300353 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 648740880 is about 25470.3922231284. The cubic root of 648740880 is about 865.6794109777.

The spelling of 648740880 in words is "six hundred forty-eight million, seven hundred forty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 300343 600686 901029 1201372 1501715 1802058 2402744 2703087 3003430 3604116 4505145 4805488 5406174 6006860 7208232 8109261 9010290 10812348 12013720 13515435 14416464 16218522 18020580 21624696 24027440 27030870 32437044 36041160 40546305 43249392 54061740 64874088 72082320 81092610 108123480 129748176 162185220 216246960 324370440 648740880