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277264064 = 2671156263
BaseRepresentation
bin10000100001101…
…011011011000000
3201022201110210102
4100201223123000
51031434422224
643302421532
76604464020
oct2041533300
9638643712
10277264064
11132565660
1278a318a8
134559a29c
1428b75a80
151951c4ae
hex1086b6c0

277264064 has 56 divisors (see below), whose sum is σ = 685970688. Its totient is φ = 108023040.

The previous prime is 277264049. The next prime is 277264133. The reversal of 277264064 is 460462772.

277264064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×2772640642 = 153750722371592192, which contains 22 as substring.

It is an unprimeable number.

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, 23204 + ... + 33059.

Almost surely, 2277264064 is an apocalyptic number.

It is an amenable number.

277264064 is an abundant number, since it is smaller than the sum of its proper divisors (408706624).

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

277264064 is a wasteful number, since it uses less digits than its factorization.

277264064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56293 (or 56283 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 38.

The square root of 277264064 is about 16651.2481213872. The cubic root of 277264064 is about 652.0754676969.

The spelling of 277264064 in words is "two hundred seventy-seven million, two hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 56263 112526 225052 393841 450104 618893 787682 900208 1237786 1575364 1800416 2475572 3150728 3600832 4332251 4951144 6301456 8664502 9902288 12602912 17329004 19804576 25205824 34658008 39609152 69316016 138632032 277264064