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56343584 = 2511592713
BaseRepresentation
bin1101011011101…
…1110000100000
310221000112212102
43112323300200
5103410443314
65331345532
71252625003
oct326736040
9127015772
1056343584
1129893850
1216a522a8
13b8998cb
1476a953a
154e2e5de
hex35bbc20

56343584 has 48 divisors (see below), whose sum is σ = 123107040. Its totient is φ = 25167360.

The previous prime is 56343571. The next prime is 56343613. The reversal of 56343584 is 48534365.

56343584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19412 + ... + 22124.

It is an arithmetic number, because the mean of its divisors is an integer number (2564730).

Almost surely, 256343584 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 56343584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61553520).

56343584 is an abundant number, since it is smaller than the sum of its proper divisors (66763456).

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

56343584 is a wasteful number, since it uses less digits than its factorization.

56343584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2785 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The square root of 56343584 is about 7506.2363405371. The cubic root of 56343584 is about 383.3670852869.

The spelling of 56343584 in words is "fifty-six million, three hundred forty-three thousand, five hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 59 88 118 176 236 352 472 649 944 1298 1888 2596 2713 5192 5426 10384 10852 20768 21704 29843 43408 59686 86816 119372 160067 238744 320134 477488 640268 954976 1280536 1760737 2561072 3521474 5122144 7042948 14085896 28171792 56343584