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535633056 = 25327475653
BaseRepresentation
bin11111111011010…
…001110010100000
31101022212222102100
4133323101302200
52044110224211
6125052250400
716162543260
oct3773216240
91338788370
10535633056
11255395052
1212b470a00
1386c8004a
14511cd7a0
1532056156
hex1fed1ca0

535633056 has 144 divisors (see below), whose sum is σ = 1778160384. Its totient is φ = 149755392.

The previous prime is 535633051. The next prime is 535633057. The reversal of 535633056 is 650336535.

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 self number, because there is not a number n which added to its sum of digits gives 535633056.

It is not an unprimeable number, because it can be changed into a prime (535633051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91926 + ... + 97578.

It is an arithmetic number, because the mean of its divisors is an integer number (12348336).

Almost surely, 2535633056 is an apocalyptic number.

535633056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535633056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889080192).

535633056 is an abundant number, since it is smaller than the sum of its proper divisors (1242527328).

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

535633056 is a wasteful number, since it uses less digits than its factorization.

535633056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 36.

The square root of 535633056 is about 23143.7476654063. The cubic root of 535633056 is about 812.1242095252.

The spelling of 535633056 in words is "five hundred thirty-five million, six hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 63 72 84 94 96 112 126 141 144 168 188 224 252 282 288 329 336 376 423 504 564 658 672 752 846 987 1008 1128 1316 1504 1692 1974 2016 2256 2632 2961 3384 3948 4512 5264 5653 5922 6768 7896 10528 11306 11844 13536 15792 16959 22612 23688 31584 33918 39571 45224 47376 50877 67836 79142 90448 94752 101754 118713 135672 158284 180896 203508 237426 265691 271344 316568 356139 407016 474852 531382 542688 633136 712278 797073 814032 949704 1062764 1266272 1424556 1594146 1628064 1859837 1899408 2125528 2391219 2849112 3188292 3719674 3798816 4251056 4782438 5579511 5698224 6376584 7439348 8502112 9564876 11159022 11396448 12753168 14878696 16738533 19129752 22318044 25506336 29757392 33477066 38259504 44636088 59514784 66954132 76519008 89272176 133908264 178544352 267816528 535633056