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768349488 = 24383919079
BaseRepresentation
bin101101110011000…
…001010100110000
31222112210012100110
4231303001110300
53033144140423
6204124221320
725016601654
oct5563012460
91875705313
10768349488
11364793385
1219539a840
13c325088a
147408aa64
15476c4193
hex2dcc1530

768349488 has 40 divisors (see below), whose sum is σ = 1987372800. Its totient is φ = 255797824.

The previous prime is 768349487. The next prime is 768349573. The reversal of 768349488 is 884943867.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (768349487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30733 + ... + 49811.

It is an arithmetic number, because the mean of its divisors is an integer number (49684320).

Almost surely, 2768349488 is an apocalyptic number.

It is an amenable number.

768349488 is an abundant number, since it is smaller than the sum of its proper divisors (1219023312).

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

768349488 is a wasteful number, since it uses less digits than its factorization.

768349488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19929 (or 19923 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 57.

The square root of 768349488 is about 27719.1177348775. The cubic root of 768349488 is about 915.9102840503.

The spelling of 768349488 in words is "seven hundred sixty-eight million, three hundred forty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 839 1678 2517 3356 5034 6712 10068 13424 19079 20136 38158 40272 57237 76316 114474 152632 228948 305264 457896 915792 16007281 32014562 48021843 64029124 96043686 128058248 192087372 256116496 384174744 768349488