Search a number
-
+
5022415060 = 22513175691997
BaseRepresentation
bin1001010110101101…
…11111100011010100
3110222000120010020121
410223112333203110
540241214240220
62150211441324
7235313552335
oct45326774324
913860503217
105022415060
112148027853
12b81bb6244
136206a9340
1435905828c
151e5dd2eaa
hex12b5bf8d4

5022415060 has 96 divisors (see below), whose sum is σ = 12053694240. Its totient is φ = 1741406208.

The previous prime is 5022415031. The next prime is 5022415081. The reversal of 5022415060 is 605142205.

It can be written as a sum of positive squares in 16 ways, for example, as 3594482116 + 1427932944 = 59954^2 + 37788^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2513982 + ... + 2515978.

It is an arithmetic number, because the mean of its divisors is an integer number (125559315).

Almost surely, 25022415060 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 5022415060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026847120).

5022415060 is an abundant number, since it is smaller than the sum of its proper divisors (7031279180).

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

5022415060 is a wasteful number, since it uses less digits than its factorization.

5022415060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5022415060 is about 70868.9992874176. Note that the first 3 decimals coincide. The cubic root of 5022415060 is about 1712.5274186030.

Adding to 5022415060 its reverse (605142205), we get a palindrome (5627557265).

The spelling of 5022415060 in words is "five billion, twenty-two million, four hundred fifteen thousand, sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 569 884 1105 1138 1997 2210 2276 2845 3994 4420 5690 7397 7988 9673 9985 11380 14794 19346 19970 25961 29588 33949 36985 38692 39940 48365 51922 67898 73970 96730 103844 125749 129805 135796 147940 169745 193460 251498 259610 339490 441337 502996 519220 628745 678980 882674 1136293 1257490 1765348 2206685 2272586 2514980 4413370 4545172 5681465 8826740 11362930 14771809 19316981 22725860 29543618 38633962 59087236 73859045 77267924 96584905 147718090 193169810 251120753 295436180 386339620 502241506 1004483012 1255603765 2511207530 5022415060