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827068648 = 23722109869
BaseRepresentation
bin110001010011000…
…001000011101000
32010122021102220011
4301103001003220
53143212144043
6214022541304
726331652600
oct6123010350
92118242804
10827068648
11394949a0a
121b0b97834
1310246c843
147bbb3c00
154c92259d
hex314c10e8

827068648 has 24 divisors (see below), whose sum is σ = 1803938850. Its totient is φ = 354457824.

The previous prime is 827068643. The next prime is 827068663. The reversal of 827068648 is 846860728.

It can be written as a sum of positive squares in only one way, i.e., 529092004 + 297976644 = 23002^2 + 17262^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (827068643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1054543 + ... + 1055326.

Almost surely, 2827068648 is an apocalyptic number.

It is an amenable number.

827068648 is an abundant number, since it is smaller than the sum of its proper divisors (976870202).

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

827068648 is a wasteful number, since it uses less digits than its factorization.

827068648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109889 (or 2109878 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The square root of 827068648 is about 28758.8012267549. The cubic root of 827068648 is about 938.6719770875.

The spelling of 827068648 in words is "eight hundred twenty-seven million, sixty-eight thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 2109869 4219738 8439476 14769083 16878952 29538166 59076332 103383581 118152664 206767162 413534324 827068648