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648945984 = 26313724671
BaseRepresentation
bin100110101011100…
…010000101000000
31200020002212112110
4212223202011000
52312112232414
6144221055320
722036643541
oct4653420500
91606085473
10648945984
113033497a5
121613b7540
13a45a530b
14622884c8
153be8a459
hex26ae2140

648945984 has 56 divisors (see below), whose sum is σ = 1729605888. Its totient is φ = 214727680.

The previous prime is 648945959. The next prime is 648946037. The reversal of 648945984 is 489549846.

It is a super-2 number, since 2×6489459842 = 842261780299456512, which contains 22 as substring.

It is a congruent number.

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, 13969 + ... + 38639.

Almost surely, 2648945984 is an apocalyptic number.

648945984 is a gapful number since it is divisible by the number (64) 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 648945984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864802944).

648945984 is an abundant number, since it is smaller than the sum of its proper divisors (1080659904).

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

648945984 is a wasteful number, since it uses less digits than its factorization.

648945984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24823 (or 24813 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 57.

The square root of 648945984 is about 25474.4182269193. The cubic root of 648945984 is about 865.7706315800.

The spelling of 648945984 in words is "six hundred forty-eight million, nine hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 411 548 822 1096 1644 2192 3288 4384 6576 8768 13152 24671 26304 49342 74013 98684 148026 197368 296052 394736 592104 789472 1184208 1578944 2368416 3379927 4736832 6759854 10139781 13519708 20279562 27039416 40559124 54078832 81118248 108157664 162236496 216315328 324472992 648945984