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85026128 = 24114111783
BaseRepresentation
bin1010001000101…
…10010101010000
312220222202220212
411010112111100
5133231314003
612234223252
72051465405
oct504262520
9186882825
1085026128
1143aa4430
1224584b28
1314800025
14b4142ac
1576e7dd8
hex5116550

85026128 has 40 divisors (see below), whose sum is σ = 184113216. Its totient is φ = 37702400.

The previous prime is 85026103. The next prime is 85026167. The reversal of 85026128 is 82162058.

It is a junction number, because it is equal to n+sod(n) for n = 85026094 and 85026103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1325 + ... + 13107.

Almost surely, 285026128 is an apocalyptic number.

85026128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85026128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92056608).

85026128 is an abundant number, since it is smaller than the sum of its proper divisors (99087088).

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

85026128 is a wasteful number, since it uses less digits than its factorization.

85026128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11843 (or 11837 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 85026128 is about 9220.9613381686. The cubic root of 85026128 is about 439.7280137243.

The spelling of 85026128 in words is "eighty-five million, twenty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 1804 3608 7216 11783 23566 47132 94264 129613 188528 259226 483103 518452 966206 1036904 1932412 2073808 3864824 5314133 7729648 10628266 21256532 42513064 85026128