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677966625 = 3353728697
BaseRepresentation
bin101000011010001…
…111001100100001
31202020201021101000
4220122033030201
52342024413000
6151135102213
722541423040
oct5032171441
91666637330
10677966625
113187703a6
1216b071969
13aa5c65ab
1466080557
153e7be000
hex2868f321

677966625 has 64 divisors (see below), whose sum is σ = 1432604160. Its totient is φ = 309916800.

The previous prime is 677966623. The next prime is 677966629. The reversal of 677966625 is 526669776.

It is not a de Polignac number, because 677966625 - 21 = 677966623 is a prime.

It is a super-2 number, since 2×6779666252 = 919277489227781250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (677966623) 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 63 ways as a sum of consecutive naturals, for example, 9277 + ... + 37973.

It is an arithmetic number, because the mean of its divisors is an integer number (22384440).

Almost surely, 2677966625 is an apocalyptic number.

It is an amenable number.

677966625 is an abundant number, since it is smaller than the sum of its proper divisors (754637535).

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

677966625 is a wasteful number, since it uses less digits than its factorization.

677966625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28728 (or 28712 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 677966625 is about 26037.7922451194. The cubic root of 677966625 is about 878.4885491633.

The spelling of 677966625 in words is "six hundred seventy-seven million, nine hundred sixty-six thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 175 189 225 315 375 525 675 875 945 1125 1575 2625 3375 4725 7875 23625 28697 86091 143485 200879 258273 430455 602637 717425 774819 1004395 1291365 1807911 2152275 3013185 3587125 3874095 5021975 5423733 6456825 9039555 10761375 15065925 19370475 25109875 27118665 32284125 45197775 75329625 96852375 135593325 225988875 677966625