Search a number
-
+
5093391424 = 261128112
BaseRepresentation
bin1001011111001011…
…01111110001000000
3111010222010002111211
410233211233301000
540412402011144
62201225015504
7240135053452
oct45745576100
914128102454
105093391424
1121840a5400
12ba1924594
136322ca3a4
143646522d2
151ec253034
hex12f96fc40

5093391424 has 63 divisors (see below), whose sum is σ = 11123280903. Its totient is φ = 2312323200.

The previous prime is 5093391383. The next prime is 5093391439. The reversal of 5093391424 is 4241933905.

The square root of 5093391424 is 71368.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 6279979 + ... + 6280789.

Almost surely, 25093391424 is an apocalyptic number.

5093391424 is the 71368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5093391424

5093391424 is an abundant number, since it is smaller than the sum of its proper divisors (6029889479).

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

5093391424 is an frugal number, since it uses more digits than its factorization.

5093391424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The cubic root of 5093391424 is about 1720.5568126937.

It can be divided in two parts, 509 and 3391424, that added together give a palindrome (3391933).

The spelling of 5093391424 in words is "five billion, ninety-three million, three hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 811 968 1622 1936 3244 3872 6488 7744 8921 12976 17842 25952 35684 51904 71368 98131 142736 196262 285472 392524 570944 657721 785048 1315442 1570096 2630884 3140192 5261768 6280384 7234931 10523536 14469862 21047072 28939724 42094144 57879448 79584241 115758896 159168482 231517792 318336964 463035584 636673928 1273347856 2546695712 5093391424