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85006096 = 2473312293
BaseRepresentation
bin1010001000100…
…01011100010000
312220221202102221
411010101130100
5133230143341
612233550424
72051353120
oct504213420
9186852387
1085006096
1143a9037a
1224575414
13147c3b86
14b40ac80
1576e1ed1
hex5111710

85006096 has 40 divisors (see below), whose sum is σ = 188878784. Its totient is φ = 36305280.

The previous prime is 85006093. The next prime is 85006111. The reversal of 85006096 is 69060058.

It is a super-2 number, since 2×850060962 = 14452072714322432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85006093) 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, 35926 + ... + 38218.

Almost surely, 285006096 is an apocalyptic number.

It is an amenable number.

85006096 is an abundant number, since it is smaller than the sum of its proper divisors (103872688).

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

85006096 is a wasteful number, since it uses less digits than its factorization.

85006096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 85006096 is about 9219.8750533833. The cubic root of 85006096 is about 439.6934779738.

The spelling of 85006096 in words is "eighty-five million, six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 331 662 1324 2293 2317 2648 4586 4634 5296 9172 9268 16051 18344 18536 32102 36688 37072 64204 128408 256816 758983 1517966 3035932 5312881 6071864 10625762 12143728 21251524 42503048 85006096