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2641024416 = 25331887441
BaseRepresentation
bin1001110101101010…
…1101010110100000
320211001112221102010
42131122231112200
520402100240131
61114022152520
7122306223432
oct23532552640
96731487363
102641024416
111135875808
12618582740
13331207b54
141b0a80652
15106cd5b46
hex9d6ad5a0

2641024416 has 48 divisors (see below), whose sum is σ = 7156332288. Its totient is φ = 851942400.

The previous prime is 2641024411. The next prime is 2641024433. The reversal of 2641024416 is 6144201462.

It is a happy number.

2641024416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2641024411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440745 + ... + 446696.

It is an arithmetic number, because the mean of its divisors is an integer number (149090256).

Almost surely, 22641024416 is an apocalyptic number.

It is an amenable number.

2641024416 is an abundant number, since it is smaller than the sum of its proper divisors (4515307872).

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

2641024416 is a wasteful number, since it uses less digits than its factorization.

2641024416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887485 (or 887477 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2641024416 is about 51390.8981824603. The cubic root of 2641024416 is about 1382.2633892514.

Adding to 2641024416 its reverse (6144201462), we get a palindrome (8785225878).

The spelling of 2641024416 in words is "two billion, six hundred forty-one million, twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 887441 1774882 2662323 3549764 5324646 7099528 10649292 14199056 21298584 27510671 28398112 42597168 55021342 82532013 85194336 110042684 165064026 220085368 330128052 440170736 660256104 880341472 1320512208 2641024416