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285825276 = 2232112924889
BaseRepresentation
bin10001000010010…
…101100011111100
3201220211102120100
4101002111203330
51041132402101
644210121100
710040321562
oct2102254374
9656742510
10285825276
11137382840
127b880190
13472a6ca9
1429d63a32
151a15de86
hex110958fc

285825276 has 72 divisors (see below), whose sum is σ = 815396400. Its totient is φ = 83623680.

The previous prime is 285825263. The next prime is 285825307. The reversal of 285825276 is 672528582.

285825276 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 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 23 ways as a sum of consecutive naturals, for example, 961 + ... + 23928.

It is an arithmetic number, because the mean of its divisors is an integer number (11324950).

Almost surely, 2285825276 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 285825276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407698200).

285825276 is an abundant number, since it is smaller than the sum of its proper divisors (529571124).

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

285825276 is a wasteful number, since it uses less digits than its factorization.

285825276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24939 (or 24934 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 285825276 is about 16906.3679127127. The cubic root of 285825276 is about 658.7190305741.

The spelling of 285825276 in words is "two hundred eighty-five million, eight hundred twenty-five thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 5742 11484 24889 49778 74667 99556 149334 224001 273779 298668 448002 547558 721781 821337 896004 1095116 1443562 1642674 2165343 2464011 2887124 3285348 4330686 4928022 6496029 7939591 8661372 9856044 12992058 15879182 23818773 25984116 31758364 47637546 71456319 95275092 142912638 285825276