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534601728 = 213332417
BaseRepresentation
bin11111110111010…
…110000000000000
31101020221120201000
4133313112000000
52043324223403
6125014212000
716151016423
oct3767260000
91336846630
10534601728
11254850211
1212b054000
13869ab7ab
14510019ba
1531e007a3
hex1fdd6000

534601728 has 112 divisors (see below), whose sum is σ = 1584563760. Its totient is φ = 178126848.

The previous prime is 534601721. The next prime is 534601751. The reversal of 534601728 is 827106435.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 534601692 and 534601701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534601721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219976 + ... + 222392.

Almost surely, 2534601728 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 534601728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792281880).

534601728 is an abundant number, since it is smaller than the sum of its proper divisors (1049962032).

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

534601728 is an equidigital number, since it uses as much as digits as its factorization.

534601728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 534601728 is about 23121.4560095164. The cubic root of 534601728 is about 811.6026431507.

The spelling of 534601728 in words is "five hundred thirty-four million, six hundred one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 2417 3072 3456 4096 4608 4834 6144 6912 7251 8192 9216 9668 12288 13824 14502 18432 19336 21753 24576 27648 29004 36864 38672 43506 55296 58008 65259 73728 77344 87012 110592 116016 130518 154688 174024 221184 232032 261036 309376 348048 464064 522072 618752 696096 928128 1044144 1237504 1392192 1856256 2088288 2475008 2784384 3712512 4176576 4950016 5568768 7425024 8353152 9900032 11137536 14850048 16706304 19800064 22275072 29700096 33412608 44550144 59400192 66825216 89100288 133650432 178200576 267300864 534601728