Search a number
-
+
5026312672 = 254183101457
BaseRepresentation
bin1001010111001011…
…10111000111100000
3110222021220010202121
410223211313013200
540243214001142
62150431154024
7235361644543
oct45345670740
913867803677
105026312672
11214a24a117
12b83375914
13621442414
1435979085a
151e6402c67
hex12b9771e0

5026312672 has 96 divisors (see below), whose sum is σ = 10383285024. Its totient is φ = 2393088000.

The previous prime is 5026312651. The next prime is 5026312679. The reversal of 5026312672 is 2762136205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5026312679) 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, 10998268 + ... + 10998724.

It is an arithmetic number, because the mean of its divisors is an integer number (108159219).

Almost surely, 25026312672 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 5026312672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5191642512).

5026312672 is an abundant number, since it is smaller than the sum of its proper divisors (5356972352).

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

5026312672 is a wasteful number, since it uses less digits than its factorization.

5026312672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 5026312672 is about 70896.4926636008. The cubic root of 5026312672 is about 1712.9703025838.

Adding to 5026312672 its reverse (2762136205), we get a palindrome (7788448877).

The spelling of 5026312672 in words is "five billion, twenty-six million, three hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 82 83 101 164 166 202 328 332 404 457 656 664 808 914 1312 1328 1616 1828 2656 3232 3403 3656 4141 6806 7312 8282 8383 13612 14624 16564 16766 18737 27224 33128 33532 37474 37931 46157 54448 66256 67064 74948 75862 92314 108896 132512 134128 149896 151724 184628 268256 299792 303448 343703 369256 599584 606896 687406 738512 1213792 1374812 1477024 1555171 1892437 2749624 3110342 3784874 3831031 5499248 6220684 7569748 7662062 10998496 12441368 15139496 15324124 24882736 30278992 30648248 49765472 60557984 61296496 122592992 157072271 314144542 628289084 1256578168 2513156336 5026312672