Search a number
-
+
85085208 = 233313157193
BaseRepresentation
bin1010001001001…
…00110000011000
312221002202222000
411010210300120
5133240211313
612235401000
72052132555
oct504446030
9187082860
1085085208
114403485a
12245b3160
1314820ba0
14b42ba2c
15770a673
hex5124c18

85085208 has 128 divisors (see below), whose sum is σ = 257476800. Its totient is φ = 25878528.

The previous prime is 85085207. The next prime is 85085213. The reversal of 85085208 is 80258058.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85085201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440760 + ... + 440952.

Almost surely, 285085208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85085208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128738400).

85085208 is an abundant number, since it is smaller than the sum of its proper divisors (172391592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85085208 is a wasteful number, since it uses less digits than its factorization.

85085208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 85085208 is about 9224.1643523953. The cubic root of 85085208 is about 439.8298377825.

The spelling of 85085208 in words is "eighty-five million, eighty-five thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 157 193 216 234 312 314 351 386 468 471 579 628 702 772 936 942 1158 1256 1404 1413 1544 1737 1884 2041 2316 2509 2808 2826 3474 3768 4082 4239 4632 5018 5211 5652 6123 6948 7527 8164 8478 10036 10422 11304 12246 13896 15054 16328 16956 18369 20072 20844 22581 24492 30108 30301 33912 36738 41688 45162 48984 55107 60216 60602 67743 73476 90324 90903 110214 121204 135486 146952 180648 181806 220428 242408 270972 272709 363612 393913 440856 541944 545418 727224 787826 818127 1090836 1181739 1575652 1636254 2181672 2363478 3151304 3272508 3545217 4726956 6545016 7090434 9453912 10635651 14180868 21271302 28361736 42542604 85085208