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4105640576 = 27231394579
BaseRepresentation
bin1111010010110111…
…0001101010000000
3101121010111011002002
43310231301222000
531402020444301
61515222043132
7203512240412
oct36455615200
911533434062
104105640576
111817588594
12966b794a8
1350578b72b
142ad3b29b2
1519069116b
hexf4b71a80

4105640576 has 32 divisors (see below), whose sum is σ = 8534829600. Its totient is φ = 1963565824.

The previous prime is 4105640551. The next prime is 4105640579. The reversal of 4105640576 is 6750465014.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×41056405762 = 33712569078595223552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4105640579) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 694346 + ... + 700233.

It is an arithmetic number, because the mean of its divisors is an integer number (266713425).

Almost surely, 24105640576 is an apocalyptic number.

4105640576 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4105640576 is an abundant number, since it is smaller than the sum of its proper divisors (4429189024).

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

4105640576 is a wasteful number, since it uses less digits than its factorization.

4105640576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394616 (or 1394604 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 4105640576 is about 64075.2727344956. The cubic root of 4105640576 is about 1601.2542997839.

The spelling of 4105640576 in words is "four billion, one hundred five million, six hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 1394579 2789158 5578316 11156632 22313264 32075317 44626528 64150634 89253056 128301268 178506112 256602536 513205072 1026410144 2052820288 4105640576