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518058048 = 263107151167
BaseRepresentation
bin11110111000001…
…111000001000000
31100002211002001010
4132320033001000
52030110324143
6123223440520
715560264214
oct3670170100
91302732033
10518058048
11246480752
121255b6140
1383438631
144cb36944
1530733a33
hex1ee0f040

518058048 has 112 divisors (see below), whose sum is σ = 1401007104. Its totient is φ = 168921600.

The previous prime is 518058031. The next prime is 518058067. The reversal of 518058048 is 840850815.

It is a junction number, because it is equal to n+sod(n) for n = 518057997 and 518058015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3102061 + ... + 3102227.

It is an arithmetic number, because the mean of its divisors is an integer number (12508992).

Almost surely, 2518058048 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 518058048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700503552).

518058048 is an abundant number, since it is smaller than the sum of its proper divisors (882949056).

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

518058048 is a wasteful number, since it uses less digits than its factorization.

518058048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 39.

The square root of 518058048 is about 22760.8885591051. Note that the first 3 decimals coincide. The cubic root of 518058048 is about 803.1428701238.

The spelling of 518058048 in words is "five hundred eighteen million, fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 151 167 192 214 302 321 334 428 453 501 604 642 668 856 906 1002 1208 1284 1336 1712 1812 2004 2416 2568 2672 3424 3624 4008 4832 5136 5344 6848 7248 8016 9664 10272 10688 14496 16032 16157 17869 20544 25217 28992 32064 32314 35738 48471 50434 53607 64628 71476 75651 96942 100868 107214 129256 142952 151302 193884 201736 214428 258512 285904 302604 387768 403472 428856 517024 571808 605208 775536 806944 857712 1034048 1143616 1210416 1551072 1613888 1715424 2420832 2698219 3102144 3430848 4841664 5396438 8094657 10792876 16189314 21585752 32378628 43171504 64757256 86343008 129514512 172686016 259029024 518058048