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534729888 = 253271124113
BaseRepresentation
bin11111110111110…
…101010010100000
31101021012002111200
4133313311102200
52043342324023
6125021041200
716152062160
oct3767652240
91337162450
10534729888
11254928530
1212b0b6200
1386a24c24
14510365a0
1531e28743
hex1fdf54a0

534729888 has 144 divisors (see below), whose sum is σ = 1895939136. Its totient is φ = 138885120.

The previous prime is 534729887. The next prime is 534729931. The reversal of 534729888 is 888927435.

It is a happy number.

534729888 is a `hidden beast` number, since 5 + 3 + 472 + 98 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (534729887) by changing a digit.

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, 10120 + ... + 34232.

It is an arithmetic number, because the mean of its divisors is an integer number (13166244).

Almost surely, 2534729888 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 534729888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947969568).

534729888 is an abundant number, since it is smaller than the sum of its proper divisors (1361209248).

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

534729888 is a wasteful number, since it uses less digits than its factorization.

534729888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24147 (or 24136 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 534729888 is about 23124.2272951984. The cubic root of 534729888 is about 811.6674930995.

The spelling of 534729888 in words is "five hundred thirty-four million, seven hundred twenty-nine thousand, eight hundred eighty-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 24113 48226 72339 96452 144678 168791 192904 217017 265243 289356 337582 385808 434034 506373 530486 578712 675164 771616 795729 868068 1012746 1060972 1157424 1350328 1519119 1591458 1736136 1856701 2025492 2121944 2314848 2387187 2700656 3038238 3182916 3472272 3713402 4050984 4243888 4774374 5401312 5570103 6076476 6365832 6944544 7426804 8101968 8487776 9548748 11140206 12152952 12731664 14853608 16203936 16710309 19097496 22280412 24305904 25463328 29707216 33420618 38194992 44560824 48611808 59414432 66841236 76389984 89121648 133682472 178243296 267364944 534729888