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628396677 = 3378729573
BaseRepresentation
bin100101011101001…
…001001010000101
31121210102212012000
4211131021022011
52241332143202
6142204415513
721400166166
oct4535111205
91553385160
10628396677
112a27937a7
12156547599
13a025bb6c
145d65976d
153a27b91c
hex25749285

628396677 has 16 divisors (see below), whose sum is σ = 932172480. Its totient is φ = 418384656.

The previous prime is 628396667. The next prime is 628396757. The reversal of 628396677 is 776693826.

628396677 is a `hidden beast` number, since 628 + 3 + 9 + 6 + 6 + 7 + 7 = 666.

It is not a de Polignac number, because 628396677 - 28 = 628396421 is a prime.

It is a super-3 number, since 3×6283966773 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628396667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6463 + ... + 36035.

It is an arithmetic number, because the mean of its divisors is an integer number (58260780).

Almost surely, 2628396677 is an apocalyptic number.

It is an amenable number.

628396677 is a deficient number, since it is larger than the sum of its proper divisors (303775803).

628396677 is a wasteful number, since it uses less digits than its factorization.

628396677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30369 (or 30363 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 628396677 is about 25067.8414906429. The cubic root of 628396677 is about 856.5340388446.

The spelling of 628396677 in words is "six hundred twenty-eight million, three hundred ninety-six thousand, six hundred seventy-seven".

Divisors: 1 3 9 27 787 2361 7083 21249 29573 88719 266157 798471 23273951 69821853 209465559 628396677