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1027456938 = 23257080941
BaseRepresentation
bin111101001111011…
…011111110101010
32122121100012221200
4331033123332222
54101012110223
6245541545030
734314145164
oct7517337652
92577305850
101027456938
11487a77672
12248115176
13134b317b1
149a657934
1560306a43
hex3d3dbfaa

1027456938 has 12 divisors (see below), whose sum is σ = 2226156738. Its totient is φ = 342485640.

The previous prime is 1027456933. The next prime is 1027456951. The reversal of 1027456938 is 8396547201.

1027456938 is a `hidden beast` number, since 10 + 2 + 74 + 569 + 3 + 8 = 666.

1027456938 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 521071929 + 506385009 = 22827^2 + 22503^2 .

1027456938 is strictly pandigital in base 10.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1027456893 and 1027456902.

It is not an unprimeable number, because it can be changed into a prime (1027456933) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28540453 + ... + 28540488.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1027456938 = 2054913876, but 3⋅1027456938 = 3082370814 is not.

Almost surely, 21027456938 is an apocalyptic number.

1027456938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1027456938 is an abundant number, since it is smaller than the sum of its proper divisors (1198699800).

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

1027456938 is a wasteful number, since it uses less digits than its factorization.

1027456938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57080949 (or 57080946 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1027456938 is about 32053.9691458016. The cubic root of 1027456938 is about 1009.0698026486.

The spelling of 1027456938 in words is "one billion, twenty-seven million, four hundred fifty-six thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 57080941 114161882 171242823 342485646 513728469 1027456938