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793256768 = 2631487821
BaseRepresentation
bin101111010010000…
…010001101000000
32001021122121201022
4233102002031000
53111033204033
6210414125012
725441366643
oct5722021500
92037577638
10793256768
11377855607
121a17b0768
13c8461805
14774d1a5a
1549994098
hex2f482340

793256768 has 56 divisors (see below), whose sum is σ = 1630216704. Its totient is φ = 382579200.

The previous prime is 793256767. The next prime is 793256797. The reversal of 793256768 is 867652397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (793256767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 965798 + ... + 966618.

Almost surely, 2793256768 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 793256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815108352).

793256768 is an abundant number, since it is smaller than the sum of its proper divisors (836959936).

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

793256768 is a wasteful number, since it uses less digits than its factorization.

793256768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1341 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 53.

The square root of 793256768 is about 28164.8143611848. The cubic root of 793256768 is about 925.7021279277.

The spelling of 793256768 in words is "seven hundred ninety-three million, two hundred fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 487 496 821 974 992 1642 1948 1984 3284 3896 6568 7792 13136 15097 15584 25451 26272 30194 31168 50902 52544 60388 101804 120776 203608 241552 399827 407216 483104 799654 814432 966208 1599308 1628864 3198616 6397232 12394637 12794464 24789274 25588928 49578548 99157096 198314192 396628384 793256768