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85016128 = 261578461
BaseRepresentation
bin1010001000100…
…11111001000000
312220222021012111
411010103321000
5133231004003
612234105104
72051424301
oct504237100
9186867174
1085016128
1143a9796a
122457b194
13147c8602
14b4107a8
1576e4e6d
hex5113e40

85016128 has 28 divisors (see below), whose sum is σ = 169798492. Its totient is φ = 42232320.

The previous prime is 85016069. The next prime is 85016147. The reversal of 85016128 is 82161058.

It can be written as a sum of positive squares in 2 ways, for example, as 49112064 + 35904064 = 7008^2 + 5992^2 .

It is a super-2 number, since 2×850161282 = 14455484040224768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85016128.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5818 + ... + 14278.

Almost surely, 285016128 is an apocalyptic number.

It is an amenable number.

85016128 is a deficient number, since it is larger than the sum of its proper divisors (84782364).

85016128 is a wasteful number, since it uses less digits than its factorization.

85016128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8630 (or 8620 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 85016128 is about 9220.4190794128. The cubic root of 85016128 is about 439.7107741117.

The spelling of 85016128 in words is "eighty-five million, sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 157 314 628 1256 2512 5024 8461 10048 16922 33844 67688 135376 270752 541504 1328377 2656754 5313508 10627016 21254032 42508064 85016128