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648339456 = 2133233137
BaseRepresentation
bin100110101001001…
…110000000000000
31200011222001112110
4212221032000000
52311433330311
6144200055320
722031536332
oct4651160000
91604861473
10648339456
11302a75036
12161164540
13a442221b
146216b452
153bdba8a6
hex26a4e000

648339456 has 224 divisors, whose sum is σ = 1912485888. Its totient is φ = 194641920.

The previous prime is 648339449. The next prime is 648339469. The reversal of 648339456 is 654933846.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1866240) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17522670 + ... + 17522706.

Almost surely, 2648339456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648339456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956242944).

648339456 is an abundant number, since it is smaller than the sum of its proper divisors (1264146432).

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

648339456 is a wasteful number, since it uses less digits than its factorization.

648339456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The square root of 648339456 is about 25462.5107952849. The cubic root of 648339456 is about 865.5008208282.

The spelling of 648339456 in words is "six hundred forty-eight million, three hundred thirty-nine thousand, four hundred fifty-six".