Search a number
-
+
648921344 = 2825110099
BaseRepresentation
bin100110101011011…
…100000100000000
31200020001121201212
4212223130010000
52312110440334
6144220345252
722036511651
oct4653340400
91606047655
10648921344
11303332235
121613a5228
13a4597036
146227d528
153be82ece
hex26adc100

648921344 has 36 divisors (see below), whose sum is σ = 1300597200. Its totient is φ = 323136000.

The previous prime is 648921341. The next prime is 648921389. The reversal of 648921344 is 443129846.

It is not an unprimeable number, because it can be changed into a prime (648921341) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 59207 + ... + 69305.

It is an arithmetic number, because the mean of its divisors is an integer number (36127700).

Almost surely, 2648921344 is an apocalyptic number.

648921344 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 648921344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650298600).

648921344 is an abundant number, since it is smaller than the sum of its proper divisors (651675856).

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

648921344 is a wasteful number, since it uses less digits than its factorization.

648921344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10366 (or 10352 counting only the distinct ones).

The product of its digits is 165888, while the sum is 41.

The square root of 648921344 is about 25473.9345999003. The cubic root of 648921344 is about 865.7596738840.

The spelling of 648921344 in words is "six hundred forty-eight million, nine hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 251 256 502 1004 2008 4016 8032 10099 16064 20198 32128 40396 64256 80792 161584 323168 646336 1292672 2534849 2585344 5069698 10139396 20278792 40557584 81115168 162230336 324460672 648921344