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86879880 = 23325241333
BaseRepresentation
bin1010010110110…
…10111010001000
320001110221210100
411023122322020
5134220124010
612342045400
72103316053
oct513327210
9201427710
1086879880
114505015a
1225119860
1314ccba19
14b777a9a
1579622c0
hex52dae88

86879880 has 48 divisors (see below), whose sum is σ = 282360780. Its totient is φ = 23167872.

The previous prime is 86879869. The next prime is 86879899. The reversal of 86879880 is 8897868.

It can be written as a sum of positive squares in 2 ways, for example, as 86825124 + 54756 = 9318^2 + 234^2 .

It is a super-2 number, since 2×868798802 = 15096227097628800, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 120307 + ... + 121026.

Almost surely, 286879880 is an apocalyptic number.

It is an amenable number.

86879880 is an abundant number, since it is smaller than the sum of its proper divisors (195480900).

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

86879880 is a wasteful number, since it uses less digits than its factorization.

86879880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241350 (or 241343 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 86879880 is about 9320.9377210665. The cubic root of 86879880 is about 442.9007381888.

The spelling of 86879880 in words is "eighty-six million, eight hundred seventy-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 241333 482666 723999 965332 1206665 1447998 1930664 2171997 2413330 2895996 3619995 4343994 4826660 5791992 7239990 8687988 9653320 10859985 14479980 17375976 21719970 28959960 43439940 86879880