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648247680 = 27325112543
BaseRepresentation
bin100110101000110…
…111100110000000
31200011210101122100
4212220313212000
52311422411210
6144154110400
722031004633
oct4650674600
91604711570
10648247680
11302a12093
1216111b400
13a43bc512
1462145c1a
153bd9d5c0
hex26a37980

648247680 has 96 divisors (see below), whose sum is σ = 2238500160. Its totient is φ = 172864512.

The previous prime is 648247673. The next prime is 648247687. The reversal of 648247680 is 86742846.

It is an interprime number because it is at equal distance from previous prime (648247673) and next prime (648247687).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648247687) 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 11 ways as a sum of consecutive naturals, for example, 50512 + ... + 62031.

It is an arithmetic number, because the mean of its divisors is an integer number (23317710).

Almost surely, 2648247680 is an apocalyptic number.

648247680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

648247680 is an abundant number, since it is smaller than the sum of its proper divisors (1590252480).

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

648247680 is a wasteful number, since it uses less digits than its factorization.

648247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112568 (or 112553 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 648247680 is about 25460.7085525914. The cubic root of 648247680 is about 865.4599801077.

The spelling of 648247680 in words is "six hundred forty-eight million, two hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 112543 225086 337629 450172 562715 675258 900344 1012887 1125430 1350516 1688145 1800688 2025774 2250860 2701032 3376290 3601376 4051548 4501720 5064435 5402064 6752580 7202752 8103096 9003440 10128870 10804128 13505160 14405504 16206192 18006880 20257740 21608256 27010320 32412384 36013760 40515480 43216512 54020640 64824768 72027520 81030960 108041280 129649536 162061920 216082560 324123840 648247680