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806640642 = 232418912281
BaseRepresentation
bin110000000101000…
…101110000000010
32002012211120221100
4300011011300002
53123000000032
6212013035230
725663221663
oct6005056002
92065746840
10806640642
11384367065
121a6185b16
13cb169672
14791b736a
154ac3997c
hex30145c02

806640642 has 48 divisors (see below), whose sum is σ = 1810612440. Its totient is φ = 259353600.

The previous prime is 806640617. The next prime is 806640647. The reversal of 806640642 is 246046608.

It is a happy number.

806640642 is a `hidden beast` number, since 8 + 0 + 6 + 6 + 4 + 0 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 527115681 + 279524961 = 22959^2 + 16719^2 .

It is a junction number, because it is equal to n+sod(n) for n = 806640597 and 806640606.

It is not an unprimeable number, because it can be changed into a prime (806640647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59542 + ... + 71822.

Almost surely, 2806640642 is an apocalyptic number.

806640642 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

806640642 is an abundant number, since it is smaller than the sum of its proper divisors (1003971798).

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

806640642 is a wasteful number, since it uses less digits than its factorization.

806640642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12419 (or 12416 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 806640642 is about 28401.4197180352. The cubic root of 806640642 is about 930.8792863326.

The spelling of 806640642 in words is "eight hundred six million, six hundred forty thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 41 82 89 123 178 246 267 369 534 738 801 1602 3649 7298 10947 12281 21894 24562 32841 36843 65682 73686 110529 221058 503521 1007042 1093009 1510563 2186018 3021126 3279027 4531689 6558054 9063378 9837081 19674162 44813369 89626738 134440107 268880214 403320321 806640642