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86527696 = 2431434057
BaseRepresentation
bin1010010100001…
…00111011010000
320000211001200111
411022010323100
5134122341241
612330331104
72100321223
oct512047320
9200731614
1086527696
114492a5a2
1224b89a94
1314c07628
14b6c55ba
1578e2c81
hex5284ed0

86527696 has 40 divisors (see below), whose sum is σ = 177123584. Its totient is φ = 40884480.

The previous prime is 86527687. The next prime is 86527697. The reversal of 86527696 is 69672568.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86527697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19300 + ... + 23356.

Almost surely, 286527696 is an apocalyptic number.

86527696 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86527696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88561792).

86527696 is an abundant number, since it is smaller than the sum of its proper divisors (90595888).

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

86527696 is a wasteful number, since it uses less digits than its factorization.

86527696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4133 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The square root of 86527696 is about 9302.0264458880. The cubic root of 86527696 is about 442.3014671118.

It can be divided in two parts, 865 and 27696, that added together give a 4-th power (28561 = 134).

The spelling of 86527696 in words is "eighty-six million, five hundred twenty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 31 43 62 86 124 172 248 344 496 688 1333 2666 4057 5332 8114 10664 16228 21328 32456 64912 125767 174451 251534 348902 503068 697804 1006136 1395608 2012272 2791216 5407981 10815962 21631924 43263848 86527696