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57885696 = 2103211571
BaseRepresentation
bin1101110011010…
…0010000000000
311000220220020200
43130310100000
5104304320241
65424405200
71302006651
oct334642000
9130826220
1057885696
112a747420
1217476800
13bcb97bb
14798b528
1551364b6
hex3734400

57885696 has 132 divisors (see below), whose sum is σ = 182657904. Its totient is φ = 17510400.

The previous prime is 57885679. The next prime is 57885703. The reversal of 57885696 is 69658875.

57885696 is a `hidden beast` number, since 5 + 78 + 8 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101091 + ... + 101661.

It is an arithmetic number, because the mean of its divisors is an integer number (1383772).

Almost surely, 257885696 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 57885696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91328952).

57885696 is an abundant number, since it is smaller than the sum of its proper divisors (124772208).

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

57885696 is a wasteful number, since it uses less digits than its factorization.

57885696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 587 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 57885696 is about 7608.2649796126. The cubic root of 57885696 is about 386.8332113843.

The spelling of 57885696 in words is "fifty-seven million, eight hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 571 576 704 768 792 1024 1056 1142 1152 1408 1536 1584 1713 2112 2284 2304 2816 3072 3168 3426 4224 4568 4608 5139 5632 6281 6336 6852 8448 9136 9216 10278 11264 12562 12672 13704 16896 18272 18843 20556 25124 25344 27408 33792 36544 37686 41112 50248 50688 54816 56529 73088 75372 82224 100496 101376 109632 113058 146176 150744 164448 200992 219264 226116 292352 301488 328896 401984 438528 452232 584704 602976 657792 803968 877056 904464 1205952 1315584 1607936 1754112 1808928 2411904 2631168 3215872 3617856 4823808 5262336 6431744 7235712 9647616 14471424 19295232 28942848 57885696