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512948416 = 2653971559
BaseRepresentation
bin11110100100101…
…111100011000000
31022202012110221111
4132210233203000
52022303322131
6122522133104
715465663301
oct3644574300
91282173844
10512948416
11243600812
12123951194
1382369996
144c1a67a8
1530074ab1
hex1e92f8c0

512948416 has 56 divisors (see below), whose sum is σ = 1048451040. Its totient is φ = 248881152.

The previous prime is 512948411. The next prime is 512948431. The reversal of 512948416 is 614849215.

It is not an unprimeable number, because it can be changed into a prime (512948411) 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, 328245 + ... + 329803.

It is an arithmetic number, because the mean of its divisors is an integer number (18722340).

Almost surely, 2512948416 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 512948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524225520).

512948416 is an abundant number, since it is smaller than the sum of its proper divisors (535502624).

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

512948416 is a wasteful number, since it uses less digits than its factorization.

512948416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1711 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The square root of 512948416 is about 22648.3645325661. The cubic root of 512948416 is about 800.4936619763.

The spelling of 512948416 in words is "five hundred twelve million, nine hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 53 64 97 106 194 212 388 424 776 848 1552 1559 1696 3104 3118 3392 5141 6208 6236 10282 12472 20564 24944 41128 49888 82256 82627 99776 151223 164512 165254 302446 329024 330508 604892 661016 1209784 1322032 2419568 2644064 4839136 5288128 8014819 9678272 16029638 32059276 64118552 128237104 256474208 512948416