Search a number
-
+
49766444 = 227133809
BaseRepresentation
bin1011110111011…
…0000000101100
310110122101201122
42331312000230
5100220011234
64534400112
71143002450
oct275660054
9113571648
1049766444
11261012a2
1214800038
13a406000
146876660
15458092e
hex2f7602c

49766444 has 48 divisors (see below), whose sum is σ = 107956800. Its totient is φ = 19663488.

The previous prime is 49766419. The next prime is 49766459. The reversal of 49766444 is 44466794.

49766444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 49766395 and 49766404.

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 15 ways as a sum of consecutive naturals, for example, 61112 + ... + 61920.

It is an arithmetic number, because the mean of its divisors is an integer number (2249100).

Almost surely, 249766444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49766444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53978400).

49766444 is an abundant number, since it is smaller than the sum of its proper divisors (58190356).

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

49766444 is a wasteful number, since it uses less digits than its factorization.

49766444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 831 counting only the distinct ones).

The product of its digits is 580608, while the sum is 44.

The square root of 49766444 is about 7054.5335777782. The cubic root of 49766444 is about 367.8286359517.

The spelling of 49766444 in words is "forty-nine million, seven hundred sixty-six thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 809 1183 1618 2197 2366 3236 4394 4732 5663 8788 10517 11326 15379 21034 22652 30758 42068 61516 73619 136721 147238 273442 294476 546884 957047 1777373 1914094 3554746 3828188 7109492 12441611 24883222 49766444