Base | Representation |
---|---|
bin | 1010001110011… |
… | …01001010011100 |
3 | 12222101211012000 |
4 | 11013031022130 |
5 | 133424300004 |
6 | 12302242300 |
7 | 2061034620 |
oct | 507151234 |
9 | 188354160 |
10 | 85775004 |
11 | 44466037 |
12 | 24886390 |
13 | 14a02b53 |
14 | b56b180 |
15 | 77e4c39 |
hex | 51cd29c |
85775004 has 96 divisors (see below), whose sum is σ = 265251840. Its totient is φ = 23436864.
The previous prime is 85774999. The next prime is 85775017. The reversal of 85775004 is 40057758.
85775004 is a `hidden beast` number, since 85 + 77 + 500 + 4 = 666.
It is a super-2 number, since 2×857750042 = 14714702622400032, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 85775004.
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 31 ways as a sum of consecutive naturals, for example, 14922 + ... + 19854.
It is an arithmetic number, because the mean of its divisors is an integer number (2763040).
Almost surely, 285775004 is an apocalyptic number.
85775004 is a gapful number since it is divisible by the number (84) 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 85775004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132625920).
85775004 is an abundant number, since it is smaller than the sum of its proper divisors (179476836).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
85775004 is a wasteful number, since it uses less digits than its factorization.
85775004 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4976 (or 4968 counting only the distinct ones).
The product of its (nonzero) digits is 39200, while the sum is 36.
The square root of 85775004 is about 9261.4795794193. The cubic root of 85775004 is about 441.0152246121.
The spelling of 85775004 in words is "eighty-five million, seven hundred seventy-five thousand, four".
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