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536424 = 233731103
BaseRepresentation
bin10000010111101101000
31000020211120
42002331220
5114131144
615255240
74362630
oct2027550
91006746
10536424
11337029
1221a520
1315a215
14dd6c0
15a8e19
hex82f68

536424 has 64 divisors (see below), whose sum is σ = 1597440. Its totient is φ = 146880.

The previous prime is 536423. The next prime is 536441. The reversal of 536424 is 424635.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 5 + 35 + 42 + 65 + 219 + 46 .

It is a junction number, because it is equal to n+sod(n) for n = 536394 and 536403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536423) 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, 5157 + ... + 5259.

It is an arithmetic number, because the mean of its divisors is an integer number (24960).

2536424 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 536424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798720).

536424 is an abundant number, since it is smaller than the sum of its proper divisors (1061016).

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

536424 is a wasteful number, since it uses less digits than its factorization.

536424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 536424 is about 732.4097213992. The cubic root of 536424 is about 81.2523754730.

The spelling of 536424 in words is "five hundred thirty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 103 124 168 186 206 217 248 309 372 412 434 618 651 721 744 824 868 1236 1302 1442 1736 2163 2472 2604 2884 3193 4326 5208 5768 6386 8652 9579 12772 17304 19158 22351 25544 38316 44702 67053 76632 89404 134106 178808 268212 536424