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55135566 = 2342111613
BaseRepresentation
bin1101001001010…
…0110101001110
310211202011210000
43102110311032
5103103314231
65245425130
71236434043
oct322246516
9124664700
1055135566
1129139192
121656b1a6
13b565ac5
1474731ca
154c916e6
hex3494d4e

55135566 has 40 divisors (see below), whose sum is σ = 124206984. Its totient is φ = 18280080.

The previous prime is 55135541. The next prime is 55135567. The reversal of 55135566 is 66553155.

55135566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55135566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55135567) 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 19 ways as a sum of consecutive naturals, for example, 33376 + ... + 34988.

Almost surely, 255135566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55135566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62103492).

55135566 is an abundant number, since it is smaller than the sum of its proper divisors (69071418).

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

55135566 is a wasteful number, since it uses less digits than its factorization.

55135566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1829 counting only the distinct ones).

The product of its digits is 67500, while the sum is 36.

The square root of 55135566 is about 7425.3327198180. The cubic root of 55135566 is about 380.6074448939.

The spelling of 55135566 in words is "fifty-five million, one hundred thirty-five thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 211 422 633 1266 1613 1899 3226 3798 4839 5697 9678 11394 14517 17091 29034 34182 43551 87102 130653 261306 340343 680686 1021029 2042058 3063087 6126174 9189261 18378522 27567783 55135566