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86535988 = 227111911471
BaseRepresentation
bin1010010100001…
…10111100110100
320000211111001121
411022012330310
5134123122423
612330433324
72100354340
oct512067464
9200744047
1086535988
1144935850
1224b92844
1314c0b336
14b6c8620
1578e545d
hex5286f34

86535988 has 48 divisors (see below), whose sum is σ = 189923328. Its totient is φ = 33516000.

The previous prime is 86535961. The next prime is 86536019. The reversal of 86535988 is 88953568.

It is a happy number.

It is a super-2 number, since 2×865359882 = 14976954438272288, 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58093 + ... + 59563.

It is an arithmetic number, because the mean of its divisors is an integer number (3956736).

Almost surely, 286535988 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 86535988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94961664).

86535988 is an abundant number, since it is smaller than the sum of its proper divisors (103387340).

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

86535988 is a wasteful number, since it uses less digits than its factorization.

86535988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1682 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 52.

The square root of 86535988 is about 9302.4721445431. The cubic root of 86535988 is about 442.3155953305.

It can be divided in two parts, 8653 and 5988, that added together give a palindrome (14641).

The spelling of 86535988 in words is "eighty-six million, five hundred thirty-five thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 191 308 382 764 1337 1471 2101 2674 2942 4202 5348 5884 8404 10297 14707 16181 20594 29414 32362 41188 58828 64724 113267 226534 280961 453068 561922 1123844 1966727 3090571 3933454 6181142 7866908 12362284 21633997 43267994 86535988