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768248041 = 11476432311
BaseRepresentation
bin101101110010101…
…000100011101001
31222112121001012011
4231302220203221
53033132414131
6204122115521
725016000131
oct5562504351
91875531164
10768248041
11364724140
1219534bba1
13c3216652
1474061ac1
15476a40b1
hex2dca88e9

768248041 has 16 divisors (see below), whose sum is σ = 857622528. Its totient is φ = 682189200.

The previous prime is 768248017. The next prime is 768248069. The reversal of 768248041 is 140842867.

768248041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 768248041 - 229 = 231377129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 768247985 and 768248003.

It is not an unprimeable number, because it can be changed into a prime (768248011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331276 + ... + 333586.

It is an arithmetic number, because the mean of its divisors is an integer number (53601408).

Almost surely, 2768248041 is an apocalyptic number.

It is an amenable number.

768248041 is a deficient number, since it is larger than the sum of its proper divisors (89374487).

768248041 is a wasteful number, since it uses less digits than its factorization.

768248041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012.

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 768248041 is about 27717.2877641374. The cubic root of 768248041 is about 915.8699723424.

The spelling of 768248041 in words is "seven hundred sixty-eight million, two hundred forty-eight thousand, forty-one".

Divisors: 1 11 47 517 643 2311 7073 25421 30221 108617 332431 1194787 1485973 16345703 69840731 768248041