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85861854 = 232131312801
BaseRepresentation
bin1010001111000…
…10010111011110
312222120020022200
411013202113132
5133440034404
612304152330
72061546051
oct507422736
9188506280
1085861854
1144515311
12249086a6
1314a33540
14b590a98
157810839
hex51e25de

85861854 has 48 divisors (see below), whose sum is σ = 201945744. Its totient is φ = 26208000.

The previous prime is 85861843. The next prime is 85861877. The reversal of 85861854 is 45816858.

85861854 is a `hidden beast` number, since 8 + 586 + 18 + 54 = 666.

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, 29254 + ... + 32054.

It is an arithmetic number, because the mean of its divisors is an integer number (4207203).

Almost surely, 285861854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85861854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100972872).

85861854 is an abundant number, since it is smaller than the sum of its proper divisors (116083890).

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

85861854 is a wasteful number, since it uses less digits than its factorization.

85861854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2950 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The square root of 85861854 is about 9266.1671687921. The cubic root of 85861854 is about 441.1640218542.

It can be divided in two parts, 8586 and 1854, that added together give a triangular number (10440 = T144).

The spelling of 85861854 in words is "eighty-five million, eight hundred sixty-one thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 131 234 262 393 786 1179 1703 2358 2801 3406 5109 5602 8403 10218 15327 16806 25209 30654 36413 50418 72826 109239 218478 327717 366931 655434 733862 1100793 2201586 3302379 4770103 6604758 9540206 14310309 28620618 42930927 85861854