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85013793 = 36277421
BaseRepresentation
bin1010001000100…
…11010100100001
312220222011000000
411010103110201
5133230420133
612234050213
72051414424
oct504232441
9186864000
1085013793
1143a96137
1224579969
13147c7527
14b40d9bb
1576e4413
hex5113521

85013793 has 28 divisors (see below), whose sum is σ = 128226388. Its totient is φ = 56337120.

The previous prime is 85013783. The next prime is 85013813. The reversal of 85013793 is 39731058.

It can be written as a sum of positive squares in 2 ways, for example, as 5143824 + 79869969 = 2268^2 + 8937^2 .

It is not a de Polignac number, because 85013793 - 24 = 85013777 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85013743) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 201723 + ... + 202143.

Almost surely, 285013793 is an apocalyptic number.

It is an amenable number.

85013793 is a deficient number, since it is larger than the sum of its proper divisors (43212595).

85013793 is an equidigital number, since it uses as much as digits as its factorization.

85013793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 85013793 is about 9220.2924574007. The cubic root of 85013793 is about 439.7067484674.

The spelling of 85013793 in words is "eighty-five million, thirteen thousand, seven hundred ninety-three".

Divisors: 1 3 9 27 81 243 277 421 729 831 1263 2493 3789 7479 11367 22437 34101 67311 102303 116617 201933 306909 349851 1049553 3148659 9445977 28337931 85013793