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827940537 = 3291993393
BaseRepresentation
bin110001010110010…
…101111010111001
32010200220201220100
4301112111322321
53143423044122
6214053350013
726342243544
oct6126257271
92120821810
10827940537
11395394a86
121b1338309
131026b6658
147bd5d85b
154ca45aac
hex31595eb9

827940537 has 6 divisors (see below), whose sum is σ = 1195914122. Its totient is φ = 551960352.

The previous prime is 827940473. The next prime is 827940541. The reversal of 827940537 is 735049728.

827940537 is a `hidden beast` number, since 8 + 2 + 79 + 40 + 537 = 666.

It can be written as a sum of positive squares in only one way, i.e., 776402496 + 51538041 = 27864^2 + 7179^2 .

It is not a de Polignac number, because 827940537 - 26 = 827940473 is a prime.

It is a super-3 number, since 3×8279405373 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 827940492 and 827940501.

It is not an unprimeable number, because it can be changed into a prime (827940587) 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 5 ways as a sum of consecutive naturals, for example, 45996688 + ... + 45996705.

Almost surely, 2827940537 is an apocalyptic number.

It is an amenable number.

827940537 is a deficient number, since it is larger than the sum of its proper divisors (367973585).

827940537 is a wasteful number, since it uses less digits than its factorization.

827940537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91993399 (or 91993396 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 827940537 is about 28773.9558802748. The cubic root of 827940537 is about 939.0017080202.

The spelling of 827940537 in words is "eight hundred twenty-seven million, nine hundred forty thousand, five hundred thirty-seven".

Divisors: 1 3 9 91993393 275980179 827940537