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85978134 = 23211479239
BaseRepresentation
bin1010001111111…
…10110000010110
312222210010211100
411013332300112
5134002300014
612310450530
72062542054
oct507766026
9188703740
1085978134
1144594710
1224963a46
1314a74448
14b5c11d4
157835009
hex51fec16

85978134 has 48 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 25496880.

The previous prime is 85978103. The next prime is 85978141. The reversal of 85978134 is 43187958.

It is a super-2 number, since 2×859781342 = 14784479052243912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85978134.

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, 4687 + ... + 13925.

It is an arithmetic number, because the mean of its divisors is an integer number (4324320).

Almost surely, 285978134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85978134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

85978134 is an abundant number, since it is smaller than the sum of its proper divisors (121589226).

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

85978134 is a wasteful number, since it uses less digits than its factorization.

85978134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9305 (or 9302 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 85978134 is about 9272.4394848389. The cubic root of 85978134 is about 441.3630835257.

The spelling of 85978134 in words is "eighty-five million, nine hundred seventy-eight thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 517 846 1034 1551 3102 4653 9239 9306 18478 27717 55434 83151 101629 166302 203258 304887 434233 609774 868466 914661 1302699 1829322 2605398 3908097 4776563 7816194 9553126 14329689 28659378 42989067 85978134