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533088 = 2533617
BaseRepresentation
bin10000010001001100000
31000002021000
42002021200
5114024323
615232000
74350123
oct2021140
91002230
10533088
11334576
12218600
1315884a
14dc3ba
15a7e43
hex82260

533088 has 48 divisors (see below), whose sum is σ = 1557360. Its totient is φ = 177408.

The previous prime is 533077. The next prime is 533089. The reversal of 533088 is 880335.

It is a tau number, because it is divible by the number of its divisors (48).

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 (533089) by changing a digit.

533088 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 556 + ... + 1172.

It is an arithmetic number, because the mean of its divisors is an integer number (32445).

2533088 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 533088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778680).

533088 is an abundant number, since it is smaller than the sum of its proper divisors (1024272).

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

533088 is a wasteful number, since it uses less digits than its factorization.

533088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 533088 is about 730.1287557685. The cubic root of 533088 is about 81.0835899764.

The spelling of 533088 in words is "five hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 617 864 1234 1851 2468 3702 4936 5553 7404 9872 11106 14808 16659 19744 22212 29616 33318 44424 59232 66636 88848 133272 177696 266544 533088