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55126566 = 232111392003
BaseRepresentation
bin1101001001001…
…0101000100110
310211201201102200
43102102220212
5103103022231
65245315330
71236365565
oct322225046
9124651380
1055126566
1129132450
1216565b46
13b561991
14746dbdc
154c8dbe6
hex3492a26

55126566 has 48 divisors (see below), whose sum is σ = 131302080. Its totient is φ = 16576560.

The previous prime is 55126531. The next prime is 55126567. The reversal of 55126566 is 66562155.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 55126566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55126567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26521 + ... + 28523.

It is an arithmetic number, because the mean of its divisors is an integer number (2735460).

Almost surely, 255126566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55126566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65651040).

55126566 is an abundant number, since it is smaller than the sum of its proper divisors (76175514).

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

55126566 is a wasteful number, since it uses less digits than its factorization.

55126566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2158 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 55126566 is about 7424.7266616354. The cubic root of 55126566 is about 380.5867344061.

It can be divided in two parts, 55 and 126566, that added together give a palindrome (126621).

The spelling of 55126566 in words is "fifty-five million, one hundred twenty-six thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 139 198 278 417 834 1251 1529 2003 2502 3058 4006 4587 6009 9174 12018 13761 18027 22033 27522 36054 44066 66099 132198 198297 278417 396594 556834 835251 1670502 2505753 3062587 5011506 6125174 9187761 18375522 27563283 55126566