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768042263 = 193710310607
BaseRepresentation
bin101101110001110…
…110010100010111
31222112012120220202
4231301312110113
53033104323023
6204113451115
725014152162
oct5561662427
91875176822
10768042263
113645a357a
12195270a9b
13c3173aa1
147400aad9
1547663128
hex2dc76517

768042263 has 16 divisors (see below), whose sum is σ = 838456320. Its totient is φ = 701014176.

The previous prime is 768042259. The next prime is 768042311. The reversal of 768042263 is 362240867.

It is a cyclic number.

It is not a de Polignac number, because 768042263 - 22 = 768042259 is a prime.

It is a super-2 number, since 2×7680422632 = 1179777835508322338, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768045263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67106 + ... + 77712.

It is an arithmetic number, because the mean of its divisors is an integer number (52403520).

Almost surely, 2768042263 is an apocalyptic number.

768042263 is a deficient number, since it is larger than the sum of its proper divisors (70414057).

768042263 is a wasteful number, since it uses less digits than its factorization.

768042263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10766.

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 768042263 is about 27713.5754279378. The cubic root of 768042263 is about 915.7881920186.

The spelling of 768042263 in words is "seven hundred sixty-eight million, forty-two thousand, two hundred sixty-three".

Divisors: 1 19 37 103 703 1957 3811 10607 72409 201533 392459 1092521 7456721 20757899 40423277 768042263