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2048044905 = 34537971409
BaseRepresentation
bin111101000010010…
…1010111101101001
312021201202110110000
41322010222331221
513143244414110
6535120413213
7101516044254
oct17204527551
95251673400
102048044905
119610824a5
12491a77209
132683c98ba
1415600409b
15bec031c0
hex7a12af69

2048044905 has 80 divisors (see below), whose sum is σ = 3812109840. Its totient is φ = 1051066368.

The previous prime is 2048044891. The next prime is 2048044907. The reversal of 2048044905 is 5094408402.

2048044905 is a `hidden beast` number, since 204 + 8 + 0 + 449 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 84934656 + 1963110249 = 9216^2 + 44307^2 .

It is not a de Polignac number, because 2048044905 - 27 = 2048044777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2048044905.

It is not an unprimeable number, because it can be changed into a prime (2048044907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1452841 + ... + 1454249.

It is an arithmetic number, because the mean of its divisors is an integer number (47651373).

Almost surely, 22048044905 is an apocalyptic number.

It is an amenable number.

2048044905 is a deficient number, since it is larger than the sum of its proper divisors (1764064935).

2048044905 is a wasteful number, since it uses less digits than its factorization.

2048044905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2048044905 is about 45255.3301280634. The cubic root of 2048044905 is about 1269.9301230489.

The spelling of 2048044905 in words is "two billion, forty-eight million, forty-four thousand, nine hundred five".

Divisors: 1 3 5 9 15 27 37 45 81 97 111 135 185 291 333 405 485 555 873 999 1409 1455 1665 2619 2997 3589 4227 4365 4995 7045 7857 10767 12681 13095 14985 17945 21135 32301 38043 39285 52133 53835 63405 96903 114129 136673 156399 161505 190215 260665 290709 410019 469197 484515 570645 683365 781995 1230057 1407591 1453545 2050095 2345985 3690171 4222773 5056901 6150285 7037955 11070513 15170703 18450855 21113865 25284505 45512109 55352565 75853515 136536327 227560545 409608981 682681635 2048044905