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512053248 = 212375953
BaseRepresentation
bin11110100001010…
…101000000000000
31022200112000000010
4132201111000000
52022041200443
6122451024520
715455244420
oct3641250000
91280460003
10512053248
1124304a203
1212359b140
13821153b5
144c012480
152ee49733
hex1e855000

512053248 has 104 divisors (see below), whose sum is σ = 1560614848. Its totient is φ = 146276352.

The previous prime is 512053247. The next prime is 512053259. The reversal of 512053248 is 842350215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512053247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83040 + ... + 88992.

It is an arithmetic number, because the mean of its divisors is an integer number (15005912).

Almost surely, 2512053248 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 512053248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780307424).

512053248 is an abundant number, since it is smaller than the sum of its proper divisors (1048561600).

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

512053248 is an equidigital number, since it uses as much as digits as its factorization.

512053248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 512053248 is about 22628.5935930627. The cubic root of 512053248 is about 800.0277323720.

The spelling of 512053248 in words is "five hundred twelve million, fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 5953 6144 7168 10752 11906 12288 14336 17859 21504 23812 28672 35718 41671 43008 47624 71436 83342 86016 95248 125013 142872 166684 190496 250026 285744 333368 380992 500052 571488 666736 761984 1000104 1142976 1333472 1523968 2000208 2285952 2666944 3047936 4000416 4571904 5333888 6095872 8000832 9143808 10667776 12191744 16001664 18287616 21335552 24383488 32003328 36575232 42671104 64006656 73150464 85342208 128013312 170684416 256026624 512053248