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55756089 = 321921312
BaseRepresentation
bin1101010010110…
…0010100111001
310212220200222100
43110230110321
5103233143324
65311014013
71244630124
oct324542471
9125820870
1055756089
1129522414
121680a309
13b72238c
1475953bb
154d654c9
hex352c539

55756089 has 27 divisors (see below), whose sum is σ = 85652229. Its totient is φ = 34945560.

The previous prime is 55756081. The next prime is 55756093. The reversal of 55756089 is 98065755.

The square root of 55756089 is 7467.

It is a perfect power (a square), and thus also a powerful number.

55756089 is a `hidden beast` number, since 5 + 5 + 7 + 560 + 89 = 666.

55756089 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 55756089 - 23 = 55756081 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (55756081) 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 26 ways as a sum of consecutive naturals, for example, 425554 + ... + 425684.

Almost surely, 255756089 is an apocalyptic number.

55756089 is the 7467-th square number.

55756089 is the 3734-th centered octagonal number.

It is an amenable number.

55756089 is a deficient number, since it is larger than the sum of its proper divisors (29896140).

55756089 is a wasteful number, since it uses less digits than its factorization.

55756089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The cubic root of 55756089 is about 382.0299698716.

It can be divided in two parts, 5575 and 6089, that added together give a square (11664 = 1082).

The spelling of 55756089 in words is "fifty-five million, seven hundred fifty-six thousand, eighty-nine".

Divisors: 1 3 9 19 57 131 171 361 393 1083 1179 2489 3249 7467 17161 22401 47291 51483 141873 154449 326059 425619 978177 2934531 6195121 18585363 55756089