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648325080 = 233351361757
BaseRepresentation
bin100110101001001…
…010011111011000
31200011221022211000
4212221022133120
52311432400310
6144155505000
722031446404
oct4651123730
91604838730
10648325080
11302a65257
12161158160
13a4418810
1462166104
153bdb64c0
hex26a4a7d8

648325080 has 256 divisors, whose sum is σ = 2368598400. Its totient is φ = 156764160.

The previous prime is 648325079. The next prime is 648325129. The reversal of 648325080 is 80523846.

648325080 is a `hidden beast` number, since 648 + 3 + 2 + 5 + 0 + 8 + 0 = 666.

648325080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 856062 + ... + 856818.

Almost surely, 2648325080 is an apocalyptic number.

648325080 is a gapful number since it is divisible by the number (60) 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 648325080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184299200).

648325080 is an abundant number, since it is smaller than the sum of its proper divisors (1720273320).

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

648325080 is a wasteful number, since it uses less digits than its factorization.

648325080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 648325080 is about 25462.2284963434. The cubic root of 648325080 is about 865.4944237001.

The spelling of 648325080 in words is "six hundred forty-eight million, three hundred twenty-five thousand, eighty".