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56612028 = 223112127307
BaseRepresentation
bin1101011111110…
…1010010111100
310221112012002210
43113331102330
5103443041103
65341220420
71255123434
oct327752274
9127465083
1056612028
1129a57500
1216b61710
13b961b55
1477392c4
154e83e03
hex35fd4bc

56612028 has 72 divisors (see below), whose sum is σ = 146814976. Its totient is φ = 16964640.

The previous prime is 56612027. The next prime is 56612051. The reversal of 56612028 is 82021665.

56612028 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

56612028 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 56611986 and 56612004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56612027) 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, 184251 + ... + 184557.

Almost surely, 256612028 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 56612028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73407488).

56612028 is an abundant number, since it is smaller than the sum of its proper divisors (90202948).

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

56612028 is a wasteful number, since it uses less digits than its factorization.

56612028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 56612028 is about 7524.0964906094. The cubic root of 56612028 is about 383.9749603898.

The spelling of 56612028 in words is "fifty-six million, six hundred twelve thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 127 132 242 254 307 363 381 484 508 614 726 762 921 1228 1397 1452 1524 1842 2794 3377 3684 4191 5588 6754 8382 10131 13508 15367 16764 20262 30734 37147 38989 40524 46101 61468 74294 77978 92202 111441 116967 148588 155956 184404 222882 233934 428879 445764 467868 857758 1286637 1715516 2573274 4717669 5146548 9435338 14153007 18870676 28306014 56612028