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85418816 = 267190667
BaseRepresentation
bin1010001011101…
…10001101000000
312221201201120212
411011312031000
5133331400231
612250453252
72055022310
oct505661500
9187651525
1085418816
114424246a
1224734228
13149099a2
14b4b7440
15777442b
hex5176340

85418816 has 28 divisors (see below), whose sum is σ = 193718688. Its totient is φ = 36607872.

The previous prime is 85418791. The next prime is 85418821. The reversal of 85418816 is 61881458.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is an unprimeable number.

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, 94886 + ... + 95781.

Almost surely, 285418816 is an apocalyptic number.

It is an amenable number.

85418816 is an abundant number, since it is smaller than the sum of its proper divisors (108299872).

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

85418816 is a wasteful number, since it uses less digits than its factorization.

85418816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190686 (or 190676 counting only the distinct ones).

The product of its digits is 61440, while the sum is 41.

The square root of 85418816 is about 9242.2300339258. The cubic root of 85418816 is about 440.4039265965.

The spelling of 85418816 in words is "eighty-five million, four hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 190667 381334 762668 1334669 1525336 2669338 3050672 5338676 6101344 10677352 12202688 21354704 42709408 85418816