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677223568 = 247411391061
BaseRepresentation
bin101000010111011…
…001110010010000
31202012022112002101
4220113121302100
52341332123233
6151111130144
722532206510
oct5027316220
91665275071
10677223568
113183030aa
1216a973954
13aa3c6308
1465d29840
153e6c3c7d
hex285d9c90

677223568 has 80 divisors (see below), whose sum is σ = 1548650880. Its totient is φ = 280857600.

The previous prime is 677223553. The next prime is 677223581. The reversal of 677223568 is 865322776.

It is a super-2 number, since 2×6772235682 = 917263522109301248, which contains 22 as substring.

It is an unprimeable number.

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, 637758 + ... + 638818.

It is an arithmetic number, because the mean of its divisors is an integer number (19358136).

Almost surely, 2677223568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677223568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774325440).

677223568 is an abundant number, since it is smaller than the sum of its proper divisors (871427312).

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

677223568 is a wasteful number, since it uses less digits than its factorization.

677223568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1250 counting only the distinct ones).

The product of its digits is 846720, while the sum is 46.

The square root of 677223568 is about 26023.5195160071. The cubic root of 677223568 is about 878.1674882799.

The spelling of 677223568 in words is "six hundred seventy-seven million, two hundred twenty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 139 164 278 287 328 556 574 656 973 1061 1112 1148 1946 2122 2224 2296 3892 4244 4592 5699 7427 7784 8488 11398 14854 15568 16976 22796 29708 39893 43501 45592 59416 79786 87002 91184 118832 147479 159572 174004 294958 304507 319144 348008 589916 609014 638288 696016 1032353 1179832 1218028 2064706 2359664 2436056 4129412 4872112 6046639 8258824 12093278 16517648 24186556 42326473 48373112 84652946 96746224 169305892 338611784 677223568