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56646601 = 11172103173
BaseRepresentation
bin1101100000010…
…1101111001001
310221120221112021
43120011233021
5104000142401
65342044441
71255326304
oct330055711
9127527467
1056646601
1129a80480
1216b79721
13b9747cb
147747b3b
154e8e2a1
hex3605bc9

56646601 has 24 divisors (see below), whose sum is σ = 66665664. Its totient is φ = 47719680.

The previous prime is 56646563. The next prime is 56646607. The reversal of 56646601 is 10664665.

56646601 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 56646601 - 221 = 54549449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56646607) 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 23 ways as a sum of consecutive naturals, for example, 327351 + ... + 327523.

It is an arithmetic number, because the mean of its divisors is an integer number (2777736).

Almost surely, 256646601 is an apocalyptic number.

It is an amenable number.

56646601 is a deficient number, since it is larger than the sum of its proper divisors (10019063).

56646601 is a wasteful number, since it uses less digits than its factorization.

56646601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 56646601 is about 7526.3936251036. The cubic root of 56646601 is about 384.0531090643.

The spelling of 56646601 in words is "fifty-six million, six hundred forty-six thousand, six hundred one".

Divisors: 1 11 17 103 173 187 289 1133 1751 1903 2941 3179 17819 19261 29767 32351 49997 196009 302923 327437 549967 3332153 5149691 56646601