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85707801 = 36891321
BaseRepresentation
bin1010001101111…
…00110000011001
312222021102000000
411012330300121
5133420122201
612301003213
72060334654
oct506746031
9188242000
1085707801
114441a5a3
1224853509
13149ab39a
14b55089b
1577ced86
hex51bcc19

85707801 has 28 divisors (see below), whose sum is σ = 130045140. Its totient is φ = 56453760.

The previous prime is 85707779. The next prime is 85707827. The reversal of 85707801 is 10870758.

85707801 is a `hidden beast` number, since 8 + 570 + 7 + 80 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50424201 + 35283600 = 7101^2 + 5940^2 .

It is not a de Polignac number, because 85707801 - 215 = 85675033 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85707871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 64221 + ... + 65541.

Almost surely, 285707801 is an apocalyptic number.

85707801 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

85707801 is a deficient number, since it is larger than the sum of its proper divisors (44337339).

85707801 is an equidigital number, since it uses as much as digits as its factorization.

85707801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 85707801 is about 9257.8507765032. The cubic root of 85707801 is about 440.9000189839.

The spelling of 85707801 in words is "eighty-five million, seven hundred seven thousand, eight hundred one".

Divisors: 1 3 9 27 81 89 243 267 729 801 1321 2403 3963 7209 11889 21627 35667 64881 107001 117569 321003 352707 963009 1058121 3174363 9523089 28569267 85707801