Search a number
-
+
50012144 = 247313701
BaseRepresentation
bin1011111011000…
…1111111110000
310111002212202122
42332301333300
5100300342034
64543533412
71145045000
oct276617760
9114085678
1050012144
1126259956
12148ba268
13a490ab0
1468dc000
1545cd62e
hex2fb1ff0

50012144 has 80 divisors (see below), whose sum is σ = 121867200. Its totient is φ = 19756800.

The previous prime is 50012141. The next prime is 50012167. The reversal of 50012144 is 44121005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50012141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70994 + ... + 71694.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 250012144 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 50012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60933600).

50012144 is an abundant number, since it is smaller than the sum of its proper divisors (71855056).

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

50012144 is a wasteful number, since it uses less digits than its factorization.

50012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 50012144 is about 7071.9264702060. The cubic root of 50012144 is about 368.4329733687.

Adding to 50012144 its reverse (44121005), we get a palindrome (94133149).

The spelling of 50012144 in words is "fifty million, twelve thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 343 364 392 637 686 701 728 784 1274 1372 1402 1456 2548 2744 2804 4459 4907 5096 5488 5608 8918 9113 9814 10192 11216 17836 18226 19628 34349 35672 36452 39256 63791 68698 71344 72904 78512 127582 137396 145808 240443 255164 274792 446537 480886 510328 549584 893074 961772 1020656 1786148 1923544 3125759 3572296 3847088 6251518 7144592 12503036 25006072 50012144