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86542288 = 247799781
BaseRepresentation
bin1010010100010…
…00011111010000
320000211210200221
411022020133100
5134123323123
612330522424
72100411610
oct512103720
9200753627
1086542288
114493a558
1224b96414
1314c11171
14b6caa40
1578e725d
hex52887d0

86542288 has 40 divisors (see below), whose sum is σ = 194074880. Its totient is φ = 36616320.

The previous prime is 86542277. The next prime is 86542301. The reversal of 86542288 is 88224568.

It is a super-2 number, since 2×865422882 = 14979135224549888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 3958 + ... + 13738.

It is an arithmetic number, because the mean of its divisors is an integer number (4851872).

Almost surely, 286542288 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 86542288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97037440).

86542288 is an abundant number, since it is smaller than the sum of its proper divisors (107532592).

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

86542288 is a wasteful number, since it uses less digits than its factorization.

86542288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9875 (or 9869 counting only the distinct ones).

The product of its digits is 245760, while the sum is 43.

The square root of 86542288 is about 9302.8107580451. The cubic root of 86542288 is about 442.3263289019.

The spelling of 86542288 in words is "eighty-six million, five hundred forty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 553 632 1106 1264 2212 4424 8848 9781 19562 39124 68467 78248 136934 156496 273868 547736 772699 1095472 1545398 3090796 5408893 6181592 10817786 12363184 21635572 43271144 86542288