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534860928 = 2733722109
BaseRepresentation
bin11111111000010…
…101010010000000
31101021102202021000
4133320111102000
52043411022203
6125023532000
716153146210
oct3770252200
91337382230
10534860928
11254a07a28
1212b15a000
1386a6c774
145106c240
1531e524a3
hex1fe15480

534860928 has 128 divisors (see below), whose sum is σ = 1804176000. Its totient is φ = 152810496.

The previous prime is 534860927. The next prime is 534860939. The reversal of 534860928 is 829068435.

534860928 is a `hidden beast` number, since 5 + 34 + 8 + 609 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534860927) 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 15 ways as a sum of consecutive naturals, for example, 13138 + ... + 35246.

It is an arithmetic number, because the mean of its divisors is an integer number (14095125).

Almost surely, 2534860928 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 534860928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902088000).

534860928 is an abundant number, since it is smaller than the sum of its proper divisors (1269315072).

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

534860928 is a wasteful number, since it uses less digits than its factorization.

534860928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22139 (or 22121 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 534860928 is about 23127.0605136061. The cubic root of 534860928 is about 811.7337896376.

The spelling of 534860928 in words is "five hundred thirty-four million, eight hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 22109 24192 44218 66327 88436 132654 154763 176872 198981 265308 309526 353744 397962 464289 530616 596943 619052 707488 795924 928578 1061232 1193886 1238104 1392867 1414976 1591848 1857156 2122464 2387772 2476208 2785734 2829952 3183696 3714312 4178601 4244928 4775544 4952416 5571468 6367392 7428624 8357202 8489856 9551088 9904832 11142936 12734784 14857248 16714404 19102176 19809664 22285872 25469568 29714496 33428808 38204352 44571744 59428992 66857616 76408704 89143488 133715232 178286976 267430464 534860928