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85816953 = 329535217
BaseRepresentation
bin1010001110101…
…11011001111001
312222110221201200
411013113121321
5133432120303
612303204413
72061301125
oct507273171
9188427650
1085816953
1144494602
12248a6709
1314a18c81
14b57c585
1578023a3
hex51d7679

85816953 has 6 divisors (see below), whose sum is σ = 123957834. Its totient is φ = 57211296.

The previous prime is 85816931. The next prime is 85816961. The reversal of 85816953 is 35961858.

85816953 is a `hidden beast` number, since 8 + 581 + 69 + 5 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85155984 + 660969 = 9228^2 + 813^2 .

It is not a de Polignac number, because 85816953 - 29 = 85816441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85816899 and 85816908.

It is not an unprimeable number, because it can be changed into a prime (85816903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4767600 + ... + 4767617.

It is an arithmetic number, because the mean of its divisors is an integer number (20659639).

Almost surely, 285816953 is an apocalyptic number.

It is an amenable number.

85816953 is a deficient number, since it is larger than the sum of its proper divisors (38140881).

85816953 is a wasteful number, since it uses less digits than its factorization.

85816953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9535223 (or 9535220 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 85816953 is about 9263.7440055304. The cubic root of 85816953 is about 441.0871069854.

The spelling of 85816953 in words is "eighty-five million, eight hundred sixteen thousand, nine hundred fifty-three".

Divisors: 1 3 9 9535217 28605651 85816953