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533387808 = 25331274861
BaseRepresentation
bin11111110010101…
…101101000100000
31101011122220112000
4133302231220200
52043021402213
6124532204000
716134502332
oct3762555040
91334586460
10533387808
112540a1178
1212a769600
13866750b5
1450ba7452
1531c60c73
hex1fcada20

533387808 has 96 divisors (see below), whose sum is σ = 1568286720. Its totient is φ = 176359680.

The previous prime is 533387791. The next prime is 533387821. The reversal of 533387808 is 808783335.

It is a happy number.

533387808 is a `hidden beast` number, since 533 + 38 + 7 + 80 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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, 107298 + ... + 112158.

It is an arithmetic number, because the mean of its divisors is an integer number (16336320).

Almost surely, 2533387808 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 533387808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784143360).

533387808 is an abundant number, since it is smaller than the sum of its proper divisors (1034898912).

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

533387808 is a wasteful number, since it uses less digits than its factorization.

533387808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 4993 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 533387808 is about 23095.1901486002. The cubic root of 533387808 is about 810.9878756303.

The spelling of 533387808 in words is "five hundred thirty-three million, three hundred eighty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 127 144 216 254 288 381 432 508 762 864 1016 1143 1524 2032 2286 3048 3429 4064 4572 4861 6096 6858 9144 9722 12192 13716 14583 18288 19444 27432 29166 36576 38888 43749 54864 58332 77776 87498 109728 116664 131247 155552 174996 233328 262494 349992 466656 524988 617347 699984 1049976 1234694 1399968 1852041 2099952 2469388 3704082 4199904 4938776 5556123 7408164 9877552 11112246 14816328 16668369 19755104 22224492 29632656 33336738 44448984 59265312 66673476 88897968 133346952 177795936 266693904 533387808