Search a number
-
+
2048384988 = 2232135098599
BaseRepresentation
bin111101000010111…
…1101111111011100
312021202101201221200
41322011331333130
513143341304423
6535131555500
7101521661616
oct17205757734
95252351850
102048384988
11961294a61
12491bbbb90
132684b8630
14156091db6
15bec6dd43
hex7a17dfdc

2048384988 has 72 divisors (see below), whose sum is σ = 5587764000. Its totient is φ = 628960896.

The previous prime is 2048384983. The next prime is 2048385011. The reversal of 2048384988 is 8894838402.

2048384988 is a `hidden beast` number, since 2 + 0 + 483 + 84 + 9 + 88 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048384981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233913 + ... + 242511.

Almost surely, 22048384988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048384988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793882000).

2048384988 is an abundant number, since it is smaller than the sum of its proper divisors (3539379012).

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

2048384988 is a wasteful number, since it uses less digits than its factorization.

2048384988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9131 (or 9126 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The square root of 2048384988 is about 45259.0873527074. The cubic root of 2048384988 is about 1270.0004108540. Note that the first 3 decimals are identical.

The spelling of 2048384988 in words is "two billion, forty-eight million, three hundred eighty-four thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 509 1018 1527 2036 3054 4581 6108 6617 8599 9162 13234 17198 18324 19851 25797 26468 34396 39702 51594 59553 77391 79404 103188 111787 119106 154782 223574 238212 309564 335361 447148 670722 1006083 1341444 2012166 4024332 4376891 8753782 13130673 17507564 26261346 39392019 52522692 56899583 78784038 113799166 157568076 170698749 227598332 341397498 512096247 682794996 1024192494 2048384988