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85188343 = 17192311467
BaseRepresentation
bin1010001001111…
…01111011110111
312221022000102211
411010331323313
5133302011333
612241514251
72053042342
oct504757367
9187260384
1085188343
11440a5299
1224642987
1314858b06
14b457459
15772aecd
hex513def7

85188343 has 16 divisors (see below), whose sum is σ = 99083520. Its totient is φ = 72648576.

The previous prime is 85188317. The next prime is 85188353. The reversal of 85188343 is 34388158.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85188343 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85188296 and 85188305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85188353) 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, 1696 + ... + 13162.

It is an arithmetic number, because the mean of its divisors is an integer number (6192720).

Almost surely, 285188343 is an apocalyptic number.

85188343 is a deficient number, since it is larger than the sum of its proper divisors (13895177).

85188343 is a wasteful number, since it uses less digits than its factorization.

85188343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11526.

The product of its digits is 92160, while the sum is 40.

The square root of 85188343 is about 9229.7531386273. The cubic root of 85188343 is about 440.0074774900.

It can be divided in two parts, 8518 and 8343, that added together give a palindrome (16861).

The spelling of 85188343 in words is "eighty-five million, one hundred eighty-eight thousand, three hundred forty-three".

Divisors: 1 17 19 23 323 391 437 7429 11467 194939 217873 263741 3703841 4483597 5011079 85188343