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534064608 = 253271124083
BaseRepresentation
bin11111110101010…
…010110111100000
31101012221021220200
4133311102313200
52043210031413
6124554505200
716143321450
oct3765226740
91335837820
10534064608
11254513710
1212aa35200
138685117c
1450d01d60
1531d46573
hex1fd52de0

534064608 has 144 divisors (see below), whose sum is σ = 1893580416. Its totient is φ = 138712320.

The previous prime is 534064547. The next prime is 534064633. The reversal of 534064608 is 806460435.

534064608 is a `hidden beast` number, since 5 + 3 + 4 + 0 + 646 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10135 + ... + 34217.

It is an arithmetic number, because the mean of its divisors is an integer number (13149864).

Almost surely, 2534064608 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 534064608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946790208).

534064608 is an abundant number, since it is smaller than the sum of its proper divisors (1359515808).

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

534064608 is a wasteful number, since it uses less digits than its factorization.

534064608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24117 (or 24106 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 534064608 is about 23109.8379051001. The cubic root of 534064608 is about 811.3307434890.

The spelling of 534064608 in words is "five hundred thirty-four million, sixty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 22176 24083 48166 72249 96332 144498 168581 192664 216747 264913 288996 337162 385328 433494 505743 529826 577992 674324 770656 794739 866988 1011486 1059652 1155984 1348648 1517229 1589478 1733976 1854391 2022972 2119304 2311968 2384217 2697296 3034458 3178956 3467952 3708782 4045944 4238608 4768434 5394592 5563173 6068916 6357912 6935904 7417564 8091888 8477216 9536868 11126346 12137832 12715824 14835128 16183776 16689519 19073736 22252692 24275664 25431648 29670256 33379038 38147472 44505384 48551328 59340512 66758076 76294944 89010768 133516152 178021536 267032304 534064608