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2028915486 = 233135775009
BaseRepresentation
bin111100011101110…
…1100101100011110
312020101202120211000
41320323230230132
513123400243421
6533154411130
7101164332333
oct17073545436
95211676730
102028915486
119512a7264
12487590aa6
1326445c810
1415366498a
15bd1c5226
hex78eecb1e

2028915486 has 64 divisors (see below), whose sum is σ = 4864910400. Its totient is φ = 623075328.

The previous prime is 2028915433. The next prime is 2028915503. The reversal of 2028915486 is 6845198202.

2028915486 is a `hidden beast` number, since 20 + 2 + 89 + 1 + 548 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402550 + ... + 407558.

It is an arithmetic number, because the mean of its divisors is an integer number (76014225).

Almost surely, 22028915486 is an apocalyptic number.

2028915486 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028915486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432455200).

2028915486 is an abundant number, since it is smaller than the sum of its proper divisors (2835994914).

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

2028915486 is a wasteful number, since it uses less digits than its factorization.

2028915486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5610 (or 5604 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2028915486 is about 45043.4843900869. The cubic root of 2028915486 is about 1265.9638924137.

The spelling of 2028915486 in words is "two billion, twenty-eight million, nine hundred fifteen thousand, four hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 577 702 1154 1731 3462 5009 5193 7501 10018 10386 15002 15027 15579 22503 30054 31158 45006 45081 65117 67509 90162 130234 135018 135243 195351 202527 270486 390702 405054 586053 1172106 1758159 2890193 3516318 5780386 8670579 17341158 26011737 37572509 52023474 75145018 78035211 112717527 156070422 225435054 338152581 676305162 1014457743 2028915486