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648362016 = 2533750419
BaseRepresentation
bin100110101001010…
…011100000100000
31200012000012111000
4212221103200200
52311440041031
6144200352000
722031662161
oct4651234040
91605005430
10648362016
11302a8aa85
12161175600
13a442c583
1462175768
153bdc23e6
hex26a53820

648362016 has 48 divisors (see below), whose sum is σ = 1891058400. Its totient is φ = 216120384.

The previous prime is 648362009. The next prime is 648362081. The reversal of 648362016 is 610263846.

648362016 is a `hidden beast` number, since 648 + 3 + 6 + 2 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 374346 + ... + 376073.

It is an arithmetic number, because the mean of its divisors is an integer number (39397050).

Almost surely, 2648362016 is an apocalyptic number.

It is an amenable number.

648362016 is an abundant number, since it is smaller than the sum of its proper divisors (1242696384).

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

648362016 is a wasteful number, since it uses less digits than its factorization.

648362016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750438 (or 750424 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 648362016 is about 25462.9537956616. The cubic root of 648362016 is about 865.5108595365.

The spelling of 648362016 in words is "six hundred forty-eight million, three hundred sixty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 750419 1500838 2251257 3001676 4502514 6003352 6753771 9005028 12006704 13507542 18010056 20261313 24013408 27015084 36020112 40522626 54030168 72040224 81045252 108060336 162090504 216120672 324181008 648362016