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85008880 = 2451196601
BaseRepresentation
bin1010001000100…
…10000111110000
312220221220021001
411010102013300
5133230241010
612234011344
72051364205
oct504220760
9186856231
1085008880
1143a92480
1224576b54
13147c5218
14b40bcac
1576e2c3a
hex51121f0

85008880 has 40 divisors (see below), whose sum is σ = 215615664. Its totient is φ = 30912000.

The previous prime is 85008877. The next prime is 85008881. The reversal of 85008880 is 8880058.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85008881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47421 + ... + 49180.

Almost surely, 285008880 is an apocalyptic number.

85008880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85008880 is an abundant number, since it is smaller than the sum of its proper divisors (130606784).

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

85008880 is a wasteful number, since it uses less digits than its factorization.

85008880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96625 (or 96619 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 37.

The square root of 85008880 is about 9220.0260303320. The cubic root of 85008880 is about 439.6982779954.

The spelling of 85008880 in words is "eighty-five million, eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 96601 193202 386404 483005 772808 966010 1062611 1545616 1932020 2125222 3864040 4250444 5313055 7728080 8500888 10626110 17001776 21252220 42504440 85008880