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536052 = 2231131131
BaseRepresentation
bin10000010110111110100
31000020022210
42002313310
5114123202
615253420
74361556
oct2026764
91006283
10536052
11336820
1221a270
13159cba
14dd4d6
15a8c6c
hex82df4

536052 has 48 divisors (see below), whose sum is σ = 1419264. Its totient is φ = 156000.

The previous prime is 536051. The next prime is 536057. The reversal of 536052 is 250635.

536052 is digitally balanced in base 2, 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 (536051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4027 + ... + 4157.

It is an arithmetic number, because the mean of its divisors is an integer number (29568).

2536052 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 536052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709632).

536052 is an abundant number, since it is smaller than the sum of its proper divisors (883212).

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

536052 is a wasteful number, since it uses less digits than its factorization.

536052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 536052 is about 732.1557211413. The cubic root of 536052 is about 81.2335887959.

Adding to 536052 its reverse (250635), we get a palindrome (786687).

It can be divided in two parts, 53 and 6052, that added together give a triangular number (6105 = T110).

The spelling of 536052 in words is "five hundred thirty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 131 132 186 262 341 372 393 524 682 786 1023 1364 1441 1572 2046 2882 4061 4092 4323 5764 8122 8646 12183 16244 17292 24366 44671 48732 89342 134013 178684 268026 536052