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535392 = 253211132
BaseRepresentation
bin10000010101101100000
31000012102100
42002231200
5114113032
615250400
74356624
oct2025540
91005370
10535392
11336280
12219a00
13159900
14dd184
15a897c
hex82b60

535392 has 108 divisors (see below), whose sum is σ = 1798524. Its totient is φ = 149760.

The previous prime is 535391. The next prime is 535399. The reversal of 535392 is 293535.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 535392.

It is not an unprimeable number, because it can be changed into a prime (535391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41178 + ... + 41190.

It is an arithmetic number, because the mean of its divisors is an integer number (16653).

2535392 is an apocalyptic number.

535392 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899262).

535392 is an abundant number, since it is smaller than the sum of its proper divisors (1263132).

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

535392 is a wasteful number, since it uses less digits than its factorization.

535392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 29 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 535392 is about 731.7048585325. The cubic root of 535392 is about 81.2002361937.

It can be divided in two parts, 5353 and 92, that added together give a palindrome (5445).

The spelling of 535392 in words is "five hundred thirty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 169 176 198 208 234 264 286 288 312 338 352 396 416 429 468 507 528 572 624 676 792 858 936 1014 1056 1144 1248 1287 1352 1521 1584 1716 1859 1872 2028 2288 2574 2704 3042 3168 3432 3718 3744 4056 4576 5148 5408 5577 6084 6864 7436 8112 10296 11154 12168 13728 14872 16224 16731 20592 22308 24336 29744 33462 41184 44616 48672 59488 66924 89232 133848 178464 267696 535392