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56526660 = 223653877
BaseRepresentation
bin1101011110100…
…0011101000100
310221100212000000
43113220131010
5103432323120
65335321300
71254316521
oct327503504
9127325000
1056526660
11299a9353
1216b20230
13b932038
147716148
154e68990
hex35e8744

56526660 has 84 divisors (see below), whose sum is σ = 178023468. Its totient is φ = 15069888.

The previous prime is 56526643. The next prime is 56526667. The reversal of 56526660 is 6662565.

56526660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 17288964 + 39237696 = 4158^2 + 6264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56526667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12642 + ... + 16518.

It is an arithmetic number, because the mean of its divisors is an integer number (2119327).

Almost surely, 256526660 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 56526660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89011734).

56526660 is an abundant number, since it is smaller than the sum of its proper divisors (121496808).

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

56526660 is a wasteful number, since it uses less digits than its factorization.

56526660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 56526660 is about 7518.4213768583. The cubic root of 56526660 is about 383.7818585242.

It can be divided in two parts, 565 and 26660, that added together give a square (27225 = 1652).

The spelling of 56526660 in words is "fifty-six million, five hundred twenty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 3877 4860 7290 7754 11631 14580 15508 19385 23262 34893 38770 46524 58155 69786 77540 104679 116310 139572 174465 209358 232620 314037 348930 418716 523395 628074 697860 942111 1046790 1256148 1570185 1884222 2093580 2826333 3140370 3768444 4710555 5652666 6280740 9421110 11305332 14131665 18842220 28263330 56526660