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55760481 = 3673223
BaseRepresentation
bin1101010010110…
…1011001100001
310212220221000000
43110231121201
5103233313411
65311050213
71244646000
oct324553141
9125827000
1055760481
1129525747
1216810969
13b72438a
147596c37
154d66956
hex352d661

55760481 has 56 divisors (see below), whose sum is σ = 97932800. Its totient is φ = 31720248.

The previous prime is 55760473. The next prime is 55760501. The reversal of 55760481 is 18406755.

55760481 is a `hidden beast` number, since 5 + 576 + 0 + 4 + 81 = 666.

55760481 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 55760481 - 23 = 55760473 is a prime.

It is a super-2 number, since 2×557604812 = 6218462482702722, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55760431) 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 55 ways as a sum of consecutive naturals, for example, 249936 + ... + 250158.

It is an arithmetic number, because the mean of its divisors is an integer number (1748800).

Almost surely, 255760481 is an apocalyptic number.

It is an amenable number.

55760481 is a deficient number, since it is larger than the sum of its proper divisors (42172319).

55760481 is an frugal number, since it uses more digits than its factorization.

55760481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 55760481 is about 7467.2940882223. The cubic root of 55760481 is about 382.0400006539.

The spelling of 55760481 in words is "fifty-five million, seven hundred sixty thousand, four hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 223 243 343 441 567 669 729 1029 1323 1561 1701 2007 3087 3969 4683 5103 6021 9261 10927 11907 14049 18063 27783 32781 35721 42147 54189 76489 83349 98343 126441 162567 229467 250047 295029 379323 688401 885087 1137969 2065203 2655261 6195609 7965783 18586827 55760481