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85094190 = 23252114481
BaseRepresentation
bin1010001001001…
…10111100101110
312221010020021200
411010212330232
5133241003230
612235510330
72052201006
oct504467456
9187106250
1085094190
1144040585
12245b83a6
1314824cbc
14b431006
15770d160
hex5126f2e

85094190 has 48 divisors (see below), whose sum is σ = 222343056. Its totient is φ = 22579200.

The previous prime is 85094183. The next prime is 85094201. The reversal of 85094190 is 9149058.

It is a super-2 number, since 2×850941902 = 14482042343512200, which contains 22 as substring.

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, 16750 + ... + 21230.

It is an arithmetic number, because the mean of its divisors is an integer number (4632147).

Almost surely, 285094190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85094190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111171528).

85094190 is an abundant number, since it is smaller than the sum of its proper divisors (137248866).

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

85094190 is a wasteful number, since it uses less digits than its factorization.

85094190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 85094190 is about 9224.6512129186. The cubic root of 85094190 is about 439.8453140825.

The spelling of 85094190 in words is "eighty-five million, ninety-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 211 422 633 1055 1266 1899 2110 3165 3798 4481 6330 8962 9495 13443 18990 22405 26886 40329 44810 67215 80658 134430 201645 403290 945491 1890982 2836473 4727455 5672946 8509419 9454910 14182365 17018838 28364730 42547095 85094190