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85011577 = 7172772579
BaseRepresentation
bin1010001000100…
…10110001111001
312220222000221221
411010102301321
5133230332302
612234032041
72051405110
oct504226171
9186860857
1085011577
1143a94502
1224578621
13147c6511
14b40cc77
1576e3937
hex5112c79

85011577 has 16 divisors (see below), whose sum is σ = 103282560. Its totient is φ = 68306688.

The previous prime is 85011571. The next prime is 85011587. The reversal of 85011577 is 77511058.

It is a cyclic number.

It is not a de Polignac number, because 85011577 - 23 = 85011569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85011571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31674 + ... + 34252.

It is an arithmetic number, because the mean of its divisors is an integer number (6455160).

Almost surely, 285011577 is an apocalyptic number.

It is an amenable number.

85011577 is a deficient number, since it is larger than the sum of its proper divisors (18270983).

85011577 is a wasteful number, since it uses less digits than its factorization.

85011577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880.

The product of its (nonzero) digits is 9800, while the sum is 34.

The square root of 85011577 is about 9220.1722868936. The cubic root of 85011577 is about 439.7029279163.

The spelling of 85011577 in words is "eighty-five million, eleven thousand, five hundred seventy-seven".

Divisors: 1 7 17 119 277 1939 2579 4709 18053 32963 43843 306901 714383 5000681 12144511 85011577