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768583057 = 11474573253
BaseRepresentation
bin101101110011111…
…010010110010001
31222120020001202011
4231303322112101
53033224124212
6204133222521
725021563634
oct5563722621
91876201664
10768583057
11364932910
12195491a41
13c3302c98
147410bc1b
154771d4a7
hex2dcfa591

768583057 has 16 divisors (see below), whose sum is σ = 858431232. Its totient is φ = 682139520.

The previous prime is 768583043. The next prime is 768583069. The reversal of 768583057 is 750385867.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-768583057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 768583057.

It is not an unprimeable number, because it can be changed into a prime (768583037) 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, 234643 + ... + 237895.

It is an arithmetic number, because the mean of its divisors is an integer number (53651952).

Almost surely, 2768583057 is an apocalyptic number.

It is an amenable number.

768583057 is a deficient number, since it is larger than the sum of its proper divisors (89848175).

768583057 is a wasteful number, since it uses less digits than its factorization.

768583057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768.

The product of its (nonzero) digits is 1411200, while the sum is 49.

The square root of 768583057 is about 27723.3305538855. The cubic root of 768583057 is about 916.0030832165.

The spelling of 768583057 in words is "seven hundred sixty-eight million, five hundred eighty-three thousand, fifty-seven".

Divisors: 1 11 47 457 517 3253 5027 21479 35783 152891 236269 1486621 1681801 16352831 69871187 768583057