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86554096 = 24291671117
BaseRepresentation
bin1010010100010…
…11010111110000
320000212101220021
411022023113300
5134124212341
612331053224
72100461206
oct512132760
9200771807
1086554096
1144948412
1224ba1214
1314c16655
14b6d1076
1578ea9d1
hex528b5f0

86554096 has 40 divisors (see below), whose sum is σ = 174676320. Its totient is φ = 41497344.

The previous prime is 86554079. The next prime is 86554109. The reversal of 86554096 is 69045568.

It is a super-2 number, since 2×865540962 = 14983223068754432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76930 + ... + 78046.

It is an arithmetic number, because the mean of its divisors is an integer number (4366908).

Almost surely, 286554096 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 86554096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87338160).

86554096 is an abundant number, since it is smaller than the sum of its proper divisors (88122224).

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

86554096 is a wasteful number, since it uses less digits than its factorization.

86554096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 86554096 is about 9303.4453832975. The cubic root of 86554096 is about 442.3464452785.

The spelling of 86554096 in words is "eighty-six million, five hundred fifty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 29 58 116 167 232 334 464 668 1117 1336 2234 2672 4468 4843 8936 9686 17872 19372 32393 38744 64786 77488 129572 186539 259144 373078 518288 746156 1492312 2984624 5409631 10819262 21638524 43277048 86554096