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2048105536 = 2656572
BaseRepresentation
bin111101000010011…
…1001110001000000
312021201212112121121
41322010321301000
513143303334121
6535122002024
7101516416111
oct17204716100
95251775547
102048105536
11961114004
12491aa6314
1326841b389
1415601c208
15bec16141
hex7a139c40

2048105536 has 21 divisors (see below), whose sum is σ = 4064927989. Its totient is φ = 1023871744.

The previous prime is 2048105519. The next prime is 2048105539. The reversal of 2048105536 is 6355018402.

The square root of 2048105536 is 45256.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 203918400 + 1844187136 = 14280^2 + 42944^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2048105539) 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 2 ways as a sum of consecutive naturals, for example, 359220 + ... + 364876.

Almost surely, 22048105536 is an apocalyptic number.

2048105536 is the 45256-th square number.

It is an amenable number.

2048105536 is a deficient number, since it is larger than the sum of its proper divisors (2016822453).

2048105536 is an frugal number, since it uses more digits than its factorization.

2048105536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11326 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The cubic root of 2048105536 is about 1269.9426547360.

It can be divided in two parts, 2048 and 105536, that added together give a square (107584 = 3282).

The spelling of 2048105536 in words is "two billion, forty-eight million, one hundred five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 5657 11314 22628 45256 90512 181024 362048 32001649 64003298 128006596 256013192 512026384 1024052768 2048105536