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427768705 = 571317291907
BaseRepresentation
bin11001011111110…
…011101110000001
31002210220220100101
4121133303232001
51334002044310
6110240322401
713412655040
oct3137635601
91083826311
10427768705
111aa511a61
12bb313401
136a814aa0
1440b52557
152784b43a
hex197f3b81

427768705 has 64 divisors (see below), whose sum is σ = 692375040. Its totient is φ = 245919744.

The previous prime is 427768657. The next prime is 427768727. The reversal of 427768705 is 507867724.

It is not a de Polignac number, because 427768705 - 213 = 427760513 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 223362 + ... + 225268.

It is an arithmetic number, because the mean of its divisors is an integer number (10818360).

Almost surely, 2427768705 is an apocalyptic number.

It is an amenable number.

427768705 is a deficient number, since it is larger than the sum of its proper divisors (264606335).

427768705 is a wasteful number, since it uses less digits than its factorization.

427768705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978.

The product of its (nonzero) digits is 658560, while the sum is 46.

The square root of 427768705 is about 20682.5700772414. The cubic root of 427768705 is about 753.4764269691.

The spelling of 427768705 in words is "four hundred twenty-seven million, seven hundred sixty-eight thousand, seven hundred five".

Divisors: 1 5 7 13 17 29 35 65 85 91 119 145 203 221 377 455 493 595 1015 1105 1547 1885 1907 2465 2639 3451 6409 7735 9535 13195 13349 17255 24791 32045 32419 44863 55303 66745 123955 162095 173537 224315 226933 276515 387121 421447 718939 867685 940151 1134665 1935605 2107235 2950129 3594695 4700755 5032573 6581057 12221963 14750645 25162865 32905285 61109815 85553741 427768705