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2127812928 = 26328139439
BaseRepresentation
bin111111011010011…
…1101100101000000
312111021212002121020
41332310331211000
513324210003203
6551050225440
7103505053143
oct17664754500
95437762536
102127812928
119a210538a
124b4725280
1327baa8507
1416284a05a
15c6c0d153
hex7ed3d940

2127812928 has 56 divisors (see below), whose sum is σ = 5650016640. Its totient is φ = 706728960.

The previous prime is 2127812927. The next prime is 2127812933. The reversal of 2127812928 is 8292187212.

It is a self number, because there is not a number n which added to its sum of digits gives 2127812928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2127812927) 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 7 ways as a sum of consecutive naturals, for example, 34233 + ... + 73671.

Almost surely, 22127812928 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 2127812928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825008320).

2127812928 is an abundant number, since it is smaller than the sum of its proper divisors (3522203712).

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

2127812928 is a wasteful number, since it uses less digits than its factorization.

2127812928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39735 (or 39725 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 2127812928 is about 46128.2226841659. Note that the first 3 decimals coincide. The cubic root of 2127812928 is about 1286.2078259869.

The spelling of 2127812928 in words is "two billion, one hundred twenty-seven million, eight hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 281 562 843 1124 1686 2248 3372 4496 6744 8992 13488 17984 26976 39439 53952 78878 118317 157756 236634 315512 473268 631024 946536 1262048 1893072 2524096 3786144 7572288 11082359 22164718 33247077 44329436 66494154 88658872 132988308 177317744 265976616 354635488 531953232 709270976 1063906464 2127812928