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2489211648 = 28347111559
BaseRepresentation
bin1001010001011110…
…0101101100000000
320102110220001110000
42110113211230000
520044214233043
61051000240000
7115453643550
oct22427455400
96373801400
102489211648
111068105610
12595770000
13308922b01
14198843160
15e87e92d3
hex945e5b00

2489211648 has 360 divisors, whose sum is σ = 9259810560. Its totient is φ = 646133760.

The previous prime is 2489211643. The next prime is 2489211661. The reversal of 2489211648 is 8461129842.

2489211648 is a `hidden beast` number, since 2 + 489 + 2 + 1 + 164 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2489211643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1595893 + ... + 1597451.

It is an arithmetic number, because the mean of its divisors is an integer number (25721696).

Almost surely, 22489211648 is an apocalyptic number.

2489211648 is a gapful number since it is divisible by the number (28) 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 2489211648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4629905280).

2489211648 is an abundant number, since it is smaller than the sum of its proper divisors (6770598912).

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

2489211648 is a wasteful number, since it uses less digits than its factorization.

2489211648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1582 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2489211648 is about 49891.9998396537. Note that the first 3 decimals coincide. The cubic root of 2489211648 is about 1355.2537204564.

The spelling of 2489211648 in words is "two billion, four hundred eighty-nine million, two hundred eleven thousand, six hundred forty-eight".