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768050406 = 232471098329
BaseRepresentation
bin101101110001111…
…000010011100110
31222112020000002100
4231301320103212
53033110103111
6204113552530
725014215004
oct5561702346
91875200070
10768050406
113645a9702
12195275746
13c31776c6
147400da74
1547665756
hex2dc784e6

768050406 has 48 divisors (see below), whose sum is σ = 1715313600. Its totient is φ = 248241024.

The previous prime is 768050383. The next prime is 768050443. The reversal of 768050406 is 604050867.

It is a happy number.

768050406 is a `hidden beast` number, since 76 + 80 + 504 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88050 + ... + 96378.

It is an arithmetic number, because the mean of its divisors is an integer number (35735700).

Almost surely, 2768050406 is an apocalyptic number.

768050406 is an abundant number, since it is smaller than the sum of its proper divisors (947263194).

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

768050406 is a wasteful number, since it uses less digits than its factorization.

768050406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8493 (or 8490 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 768050406 is about 27713.7223411075. The cubic root of 768050406 is about 915.7914284884.

The spelling of 768050406 in words is "seven hundred sixty-eight million, fifty thousand, four hundred six".

Divisors: 1 2 3 6 9 18 47 94 109 141 218 282 327 423 654 846 981 1962 5123 8329 10246 15369 16658 24987 30738 46107 49974 74961 92214 149922 391463 782926 907861 1174389 1815722 2348778 2723583 3523167 5447166 7046334 8170749 16341498 42669467 85338934 128008401 256016802 384025203 768050406