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86974880 = 255543593
BaseRepresentation
bin1010010111100…
…10000110100000
320001122210002212
411023302012200
5134231144010
612344101252
72104163036
oct513620640
9201583085
1086974880
1145105573
1225164828
1315033035
14b7a0556
157980505
hex52f21a0

86974880 has 24 divisors (see below), whose sum is σ = 205478532. Its totient is φ = 34789888.

The previous prime is 86974879. The next prime is 86974883. The reversal of 86974880 is 8847968.

It can be written as a sum of positive squares in 2 ways, for example, as 86341264 + 633616 = 9292^2 + 796^2 .

It is not an unprimeable number, because it can be changed into a prime (86974883) 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 3 ways as a sum of consecutive naturals, for example, 271637 + ... + 271956.

Almost surely, 286974880 is an apocalyptic number.

86974880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86974880 is an abundant number, since it is smaller than the sum of its proper divisors (118503652).

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

86974880 is a wasteful number, since it uses less digits than its factorization.

86974880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543608 (or 543600 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The square root of 86974880 is about 9326.0323825301. The cubic root of 86974880 is about 443.0621113530.

The spelling of 86974880 in words is "eighty-six million, nine hundred seventy-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 543593 1087186 2174372 2717965 4348744 5435930 8697488 10871860 17394976 21743720 43487440 86974880