Search a number
-
+
55605066 = 23112191401
BaseRepresentation
bin1101010000011…
…1011101001010
310212122000210220
43110013131022
5103213330231
65303450510
71243430616
oct324073512
9125560726
1055605066
1129429a00
1216756a36
13b69b70a
147556346
154d35896
hex350774a

55605066 has 48 divisors (see below), whose sum is σ = 123185664. Its totient is φ = 16720000.

The previous prime is 55605031. The next prime is 55605073. The reversal of 55605066 is 66050655.

55605066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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, 138466 + ... + 138866.

It is an arithmetic number, because the mean of its divisors is an integer number (2566368).

Almost surely, 255605066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55605066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61592832).

55605066 is an abundant number, since it is smaller than the sum of its proper divisors (67580598).

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

55605066 is a wasteful number, since it uses less digits than its factorization.

55605066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 55605066 is about 7456.8804469429. The cubic root of 55605066 is about 381.6847311507.

The spelling of 55605066 in words is "fifty-five million, six hundred five thousand, sixty-six".

Divisors: 1 2 3 6 11 22 33 66 121 191 242 363 382 401 573 726 802 1146 1203 2101 2406 4202 4411 6303 8822 12606 13233 23111 26466 46222 48521 69333 76591 97042 138666 145563 153182 229773 291126 459546 842501 1685002 2527503 5055006 9267511 18535022 27802533 55605066