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56468577 = 31117231191
BaseRepresentation
bin1101011101101…
…0010001100001
310221020220022210
43113122101201
5103423443302
65334152333
71253655264
oct327322141
9127226283
1056468577
1129969750
1216ab26a9
13b911779
1476dccdb
154e5666c
hex35da461

56468577 has 48 divisors (see below), whose sum is σ = 90537984. Its totient is φ = 31008000.

The previous prime is 56468537. The next prime is 56468641. The reversal of 56468577 is 77586465.

56468577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56468577 - 27 = 56468449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56468507) 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 47 ways as a sum of consecutive naturals, for example, 295552 + ... + 295742.

It is an arithmetic number, because the mean of its divisors is an integer number (1886208).

Almost surely, 256468577 is an apocalyptic number.

It is an amenable number.

56468577 is a deficient number, since it is larger than the sum of its proper divisors (34069407).

56468577 is a wasteful number, since it uses less digits than its factorization.

56468577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 253 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

The square root of 56468577 is about 7514.5576716131. The cubic root of 56468577 is about 383.6503639868.

The spelling of 56468577 in words is "fifty-six million, four hundred sixty-eight thousand, five hundred seventy-seven".

Divisors: 1 3 11 17 31 33 51 93 187 191 289 341 527 561 573 867 1023 1581 2101 3179 3247 5797 5921 6303 8959 9537 9741 17391 17763 26877 35717 55199 65131 98549 100657 107151 165597 195393 295647 301971 607189 1107227 1711169 1821567 3321681 5133507 18822859 56468577