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85128504 = 2335979761
BaseRepresentation
bin1010001001011…
…11010100111000
312221011222100120
411010233110320
5133243103004
612240333240
72052403026
oct504572470
9187158316
1085128504
114406433a
1224614220
13148377c6
14b43d716
1577183d9
hex512f538

85128504 has 64 divisors (see below), whose sum is σ = 219456000. Its totient is φ = 27505920.

The previous prime is 85128499. The next prime is 85128521. The reversal of 85128504 is 40582158.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111484 + ... + 112244.

It is an arithmetic number, because the mean of its divisors is an integer number (3429000).

Almost surely, 285128504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85128504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109728000).

85128504 is an abundant number, since it is smaller than the sum of its proper divisors (134327496).

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

85128504 is a wasteful number, since it uses less digits than its factorization.

85128504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 85128504 is about 9226.5109331751. The cubic root of 85128504 is about 439.9044282783.

The spelling of 85128504 in words is "eighty-five million, one hundred twenty-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 59 79 118 158 177 236 237 316 354 472 474 632 708 761 948 1416 1522 1896 2283 3044 4566 4661 6088 9132 9322 13983 18264 18644 27966 37288 44899 55932 60119 89798 111864 120238 134697 179596 180357 240476 269394 359192 360714 480952 538788 721428 1077576 1442856 3547021 7094042 10641063 14188084 21282126 28376168 42564252 85128504