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524382012 = 223471121019
BaseRepresentation
bin11111010000010…
…110111100111100
31100112201100220000
4133100112330330
52033220211022
6124011154300
715665113350
oct3720267474
91315640800
10524382012
11249aaaa70
12127745990
1384840c1b
144d901460
15310826ac
hex1f416f3c

524382012 has 120 divisors (see below), whose sum is σ = 1709178240. Its totient is φ = 136196640.

The previous prime is 524382011. The next prime is 524382049. The reversal of 524382012 is 210283425.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (524382011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14439 + ... + 35457.

It is an arithmetic number, because the mean of its divisors is an integer number (14243152).

Almost surely, 2524382012 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 524382012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854589120).

524382012 is an abundant number, since it is smaller than the sum of its proper divisors (1184796228).

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

524382012 is a wasteful number, since it uses less digits than its factorization.

524382012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21053 (or 21042 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 524382012 is about 22899.3889001432. The cubic root of 524382012 is about 806.3976655438.

The spelling of 524382012 in words is "five hundred twenty-four million, three hundred eighty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 252 297 308 324 378 396 462 567 594 693 756 891 924 1134 1188 1386 1782 2079 2268 2772 3564 4158 6237 8316 12474 21019 24948 42038 63057 84076 126114 147133 189171 231209 252228 294266 378342 441399 462418 567513 588532 693627 756684 882798 924836 1135026 1324197 1387254 1618463 1702539 1765596 2080881 2270052 2648394 2774508 3236926 3405078 3972591 4161762 4855389 5296788 6242643 6473852 6810156 7945182 8323524 9710778 11917773 12485286 14566167 15890364 18727929 19421556 23835546 24970572 29132334 37455858 43698501 47671092 58264668 74911716 87397002 131095503 174794004 262191006 524382012