Search a number
-
+
5048282680 = 2357109251659
BaseRepresentation
bin1001011001110011…
…01010111000111000
3111000211020022221121
410230321222320320
540314330021210
62152534115024
7236046460210
oct45471527070
914024208847
105048282680
112160695551
12b8a7aba74
13625b6541c
1435c66d240
151e82e26da
hex12ce6ae38

5048282680 has 128 divisors (see below), whose sum is σ = 13172544000. Its totient is φ = 1705536000.

The previous prime is 5048282669. The next prime is 5048282693. The reversal of 5048282680 is 862828405.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 7660191 + ... + 7660849.

It is an arithmetic number, because the mean of its divisors is an integer number (102910500).

Almost surely, 25048282680 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 5048282680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586272000).

5048282680 is an abundant number, since it is smaller than the sum of its proper divisors (8124261320).

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

5048282680 is a wasteful number, since it uses less digits than its factorization.

5048282680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The square root of 5048282680 is about 71051.2679689814. The cubic root of 5048282680 is about 1715.4624722109.

The spelling of 5048282680 in words is "five billion, forty-eight million, two hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 109 140 218 251 280 436 502 545 659 763 872 1004 1090 1255 1318 1526 1757 2008 2180 2510 2636 3052 3295 3514 3815 4360 4613 5020 5272 6104 6590 7028 7630 8785 9226 10040 13180 14056 15260 17570 18452 23065 26360 27359 30520 35140 36904 46130 54718 70280 71831 92260 109436 136795 143662 165409 184520 191513 218872 273590 287324 330818 359155 383026 502817 547180 574648 661636 718310 766052 827045 957565 1005634 1094360 1157863 1323272 1436620 1532104 1654090 1915130 2011268 2315726 2514085 2873240 3308180 3830260 4022536 4631452 5028170 5789315 6616360 7660520 9262904 10056340 11578630 18029581 20112680 23157260 36059162 46314520 72118324 90147905 126207067 144236648 180295810 252414134 360591620 504828268 631035335 721183240 1009656536 1262070670 2524141340 5048282680