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2048384007 = 32592151433
BaseRepresentation
bin111101000010111…
…1101110000000111
312021202101200121100
41322011331300013
513143341242012
6535131551143
7101521656015
oct17205756007
95252350540
102048384007
1196129424a
12491bbb4b3
132684b8057
141560918b5
15bec6d8dc
hex7a17dc07

2048384007 has 36 divisors (see below), whose sum is σ = 3036704944. Its totient is φ = 1330473600.

The previous prime is 2048384003. The next prime is 2048384029. The reversal of 2048384007 is 7004838402.

It is not a de Polignac number, because 2048384007 - 22 = 2048384003 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048384003) 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 35 ways as a sum of consecutive naturals, for example, 4730463 + ... + 4730895.

Almost surely, 22048384007 is an apocalyptic number.

2048384007 is a deficient number, since it is larger than the sum of its proper divisors (988320937).

2048384007 is a wasteful number, since it uses less digits than its factorization.

2048384007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2048384007 is about 45259.0765151036. The cubic root of 2048384007 is about 1270.0002081137. Note that the first 3 decimals are identical.

The spelling of 2048384007 in words is "two billion, forty-eight million, three hundred eighty-four thousand, seven".

Divisors: 1 3 9 59 151 177 433 453 531 1299 1359 3481 3897 8909 10443 25547 26727 31329 65383 76641 80181 196149 229923 525631 588447 1507273 1576893 3857597 4521819 4730679 11572791 13565457 34718373 227598223 682794669 2048384007