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648483840 = 2103354691
BaseRepresentation
bin100110101001110…
…001010000000000
31200012020101121000
4212221301100000
52312002440330
6144203132000
722033010304
oct4651612000
91605211530
10648483840
11303063564
12161214000
13a4472b64
14621a7d04
153bde8560
hex26a71400

648483840 has 176 divisors, whose sum is σ = 2305085760. Its totient is φ = 172892160.

The previous prime is 648483833. The next prime is 648483841. The reversal of 648483840 is 48384846.

It is a super-2 number, since 2×6484838402 = 841062581482291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648483841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135895 + ... + 140585.

Almost surely, 2648483840 is an apocalyptic number.

648483840 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 648483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152542880).

648483840 is an abundant number, since it is smaller than the sum of its proper divisors (1656601920).

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

648483840 is a wasteful number, since it uses less digits than its factorization.

648483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4725 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 648483840 is about 25465.3458645273. The cubic root of 648483840 is about 865.5650645378.

The spelling of 648483840 in words is "six hundred forty-eight million, four hundred eighty-three thousand, eight hundred forty".