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56075166 = 235753311
BaseRepresentation
bin1101010111101…
…0001110011110
310220111220200000
43111322032132
5103323401131
65321515130
71250426310
oct325721636
9126456600
1056075166
1129720114
1216942aa6
13b804694
1476397b0
154dc9ce6
hex357a39e

56075166 has 96 divisors (see below), whose sum is σ = 147184128. Its totient is φ = 15668640.

The previous prime is 56075153. The next prime is 56075171. The reversal of 56075166 is 66157065.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 56075166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180151 + ... + 180461.

It is an arithmetic number, because the mean of its divisors is an integer number (1533168).

Almost surely, 256075166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56075166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73592064).

56075166 is an abundant number, since it is smaller than the sum of its proper divisors (91108962).

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

56075166 is a wasteful number, since it uses less digits than its factorization.

56075166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 56075166 is about 7488.3353290301. The cubic root of 56075166 is about 382.7573354835.

The spelling of 56075166 in words is "fifty-six million, seventy-five thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 81 106 126 159 162 189 243 311 318 371 378 477 486 567 622 742 933 954 1113 1134 1431 1701 1866 2177 2226 2799 2862 3339 3402 4293 4354 5598 6531 6678 8397 8586 10017 12879 13062 16483 16794 19593 20034 25191 25758 30051 32966 39186 49449 50382 58779 60102 75573 90153 98898 115381 117558 148347 151146 176337 180306 230762 296694 346143 352674 445041 529011 692286 890082 1038429 1058022 1335123 2076858 2670246 3115287 4005369 6230574 8010738 9345861 18691722 28037583 56075166