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56505306 = 23112135987
BaseRepresentation
bin1101011110001…
…1001111011010
310221022202201010
43113203033122
5103431132211
65335034350
71254200334
oct327431732
9127282633
1056505306
1129994300
1216b0b9b6
13b9253c0
14770c454
154e624a6
hex35e33da

56505306 has 48 divisors (see below), whose sum is σ = 133795872. Its totient is φ = 15803040.

The previous prime is 56505283. The next prime is 56505329. The reversal of 56505306 is 60350565.

It is an interprime number because it is at equal distance from previous prime (56505283) and next prime (56505329).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6445 + ... + 12431.

It is an arithmetic number, because the mean of its divisors is an integer number (2787414).

Almost surely, 256505306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56505306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66897936).

56505306 is an abundant number, since it is smaller than the sum of its proper divisors (77290566).

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

56505306 is a wasteful number, since it uses less digits than its factorization.

56505306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6027 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 56505306 is about 7517.0011307702. The cubic root of 56505306 is about 383.7335255194.

The spelling of 56505306 in words is "fifty-six million, five hundred five thousand, three hundred six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 1573 3146 4719 5987 9438 11974 17961 35922 65857 77831 131714 155662 197571 233493 395142 466986 724427 856141 1448854 1712282 2173281 2568423 4346562 5136846 9417551 18835102 28252653 56505306