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536382 = 23471143
BaseRepresentation
bin10000010111100111110
31000020210000
42002330332
5114131012
615255130
74362540
oct2027476
91006700
10536382
11336aa0
1221a4a6
1315a1b2
14dd690
15a8ddc
hex82f3e

536382 has 80 divisors (see below), whose sum is σ = 1533312. Its totient is φ = 136080.

The previous prime is 536377. The next prime is 536399. The reversal of 536382 is 283635.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

536382 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12453 + ... + 12495.

2536382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766656).

536382 is an abundant number, since it is smaller than the sum of its proper divisors (996930).

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

536382 is a wasteful number, since it uses less digits than its factorization.

536382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 66 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 536382 is about 732.3810483621. The cubic root of 536382 is about 81.2502548315.

It can be divided in two parts, 5363 and 82, that added together give a palindrome (5445).

The spelling of 536382 in words is "five hundred thirty-six thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 43 54 63 66 77 81 86 99 126 129 154 162 189 198 231 258 297 301 378 387 462 473 567 594 602 693 774 891 903 946 1134 1161 1386 1419 1782 1806 2079 2322 2709 2838 3311 3483 4158 4257 5418 6237 6622 6966 8127 8514 9933 12474 12771 16254 19866 24381 25542 29799 38313 48762 59598 76626 89397 178794 268191 536382