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285100256 = 2577916111
BaseRepresentation
bin10000111111100…
…100100011100000
3201212110121000202
4100333210203200
51040441202011
644142404332
710031212040
oct2077444340
9655417022
10285100256
11136a28051
127b5906a8
13470b1c9c
1429c15720
151a06923b
hex10fe48e0

285100256 has 48 divisors (see below), whose sum is σ = 649635840. Its totient is φ = 120631680.

The previous prime is 285100253. The next prime is 285100267. The reversal of 285100256 is 652001582.

285100256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285100253) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9641 + ... + 25751.

It is an arithmetic number, because the mean of its divisors is an integer number (13534080).

Almost surely, 2285100256 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 285100256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324817920).

285100256 is an abundant number, since it is smaller than the sum of its proper divisors (364535584).

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

285100256 is a wasteful number, since it uses less digits than its factorization.

285100256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16207 (or 16199 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 285100256 is about 16884.9120815005. The cubic root of 285100256 is about 658.1615934580.

The spelling of 285100256 in words is "two hundred eighty-five million, one hundred thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 1106 1264 2212 2528 4424 8848 16111 17696 32222 64444 112777 128888 225554 257776 451108 515552 902216 1272769 1804432 2545538 3608864 5091076 8909383 10182152 17818766 20364304 35637532 40728608 71275064 142550128 285100256