Search a number
-
+
86805408 = 2536311433
BaseRepresentation
bin1010010110010…
…00101110100000
320001100011122010
411023020232200
5134210233113
612340312520
72102555664
oct513105640
9201304563
1086805408
1144aaa208
12250a2740
1314ca3b61
14b7588a4
15794a1c3
hex52c8ba0

86805408 has 48 divisors (see below), whose sum is σ = 228384576. Its totient is φ = 28869120.

The previous prime is 86805403. The next prime is 86805469. The reversal of 86805408 is 80450868.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (86805403) 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, 59860 + ... + 61292.

It is an arithmetic number, because the mean of its divisors is an integer number (4758012).

Almost surely, 286805408 is an apocalyptic number.

It is an amenable number.

86805408 is an abundant number, since it is smaller than the sum of its proper divisors (141579168).

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

86805408 is a wasteful number, since it uses less digits than its factorization.

86805408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 86805408 is about 9316.9419875837. The cubic root of 86805408 is about 442.7741529441.

The spelling of 86805408 in words is "eighty-six million, eight hundred five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 631 1262 1433 1893 2524 2866 3786 4299 5048 5732 7572 8598 10096 11464 15144 17196 20192 22928 30288 34392 45856 60576 68784 137568 904223 1808446 2712669 3616892 5425338 7233784 10850676 14467568 21701352 28935136 43402704 86805408