Search a number
-
+
85850935 = 5173121051
BaseRepresentation
bin1010001110111…
…11101100110111
312222112200100021
411013133230313
5133434212220
612304030011
72061502162
oct507375467
9188480307
1085850935
1144508095
1224902307
1314a2b591
14b58aad9
15780c4aa
hex51dfb37

85850935 has 24 divisors (see below), whose sum is σ = 112820688. Its totient is φ = 62496000.

The previous prime is 85850893. The next prime is 85850953. The reversal of 85850935 is 53905858.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-85850935 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85850891 and 85850900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81160 + ... + 82210.

It is an arithmetic number, because the mean of its divisors is an integer number (4700862).

Almost surely, 285850935 is an apocalyptic number.

85850935 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

85850935 is a deficient number, since it is larger than the sum of its proper divisors (26969753).

85850935 is a wasteful number, since it uses less digits than its factorization.

85850935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 43.

The square root of 85850935 is about 9265.5779636243. The cubic root of 85850935 is about 441.1453202076.

The spelling of 85850935 in words is "eighty-five million, eight hundred fifty thousand, nine hundred thirty-five".

Divisors: 1 5 17 31 85 155 527 961 1051 2635 4805 5255 16337 17867 32581 81685 89335 162905 553877 1010011 2769385 5050055 17170187 85850935