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638256768 = 2733153617
BaseRepresentation
bin100110000010110…
…000011010000000
31122110222210200120
4212002300122000
52301343204033
6143200020240
721550043622
oct4602603200
91573883616
10638256768
112a8308836
12159901680
13a2301b36
1460aa4c12
153b0781b3
hex260b0680

638256768 has 64 divisors (see below), whose sum is σ = 1750091520. Its totient is φ = 205885440.

The previous prime is 638256763. The next prime is 638256791. The reversal of 638256768 is 867652836.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 638256768.

It is not an unprimeable number, because it can be changed into a prime (638256763) 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, 14905 + ... + 38712.

It is an arithmetic number, because the mean of its divisors is an integer number (27345180).

Almost surely, 2638256768 is an apocalyptic number.

It is an amenable number.

638256768 is an abundant number, since it is smaller than the sum of its proper divisors (1111834752).

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

638256768 is a wasteful number, since it uses less digits than its factorization.

638256768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53665 (or 53653 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 638256768 is about 25263.7441405663. The cubic root of 638256768 is about 860.9907313108.

The spelling of 638256768 in words is "six hundred thirty-eight million, two hundred fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 53617 107234 160851 214468 321702 428936 643404 857872 1286808 1662127 1715744 2573616 3324254 3431488 4986381 5147232 6648508 6862976 9972762 10294464 13297016 19945524 20588928 26594032 39891048 53188064 79782096 106376128 159564192 212752256 319128384 638256768