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522829968 = 243174491427
BaseRepresentation
bin11111001010011…
…100000010010000
31100102210111212220
4133022130002100
52032321024333
6123514021040
715645660423
oct3712340220
91312714786
10522829968
1124913a991
12127117780
138441965b
144d6199ba
1530d778b3
hex1f29c090

522829968 has 80 divisors (see below), whose sum is σ = 1434283200. Its totient is φ = 163545088.

The previous prime is 522829961. The next prime is 522829969. The reversal of 522829968 is 869928225.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 522829968.

It is not an unprimeable number, because it can be changed into a prime (522829961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365671 + ... + 367097.

It is an arithmetic number, because the mean of its divisors is an integer number (17928540).

Almost surely, 2522829968 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 522829968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717141600).

522829968 is an abundant number, since it is smaller than the sum of its proper divisors (911453232).

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

522829968 is a wasteful number, since it uses less digits than its factorization.

522829968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1898 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 522829968 is about 22865.4754597406. The cubic root of 522829968 is about 805.6012986202.

The spelling of 522829968 in words is "five hundred twenty-two million, eight hundred twenty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 449 816 898 1347 1427 1796 2694 2854 3592 4281 5388 5708 7184 7633 8562 10776 11416 15266 17124 21552 22832 22899 24259 30532 34248 45798 48518 61064 68496 72777 91596 97036 122128 145554 183192 194072 291108 366384 388144 582216 640723 1164432 1281446 1922169 2562892 3844338 5125784 7688676 10251568 10892291 15377352 21784582 30754704 32676873 43569164 65353746 87138328 130707492 174276656 261414984 522829968