Search a number
-
+
675769856 = 291724567
BaseRepresentation
bin101000010001110…
…110111000000000
31202002120122222012
4220101312320000
52340444113411
6151020032052
722513643336
oct5021667000
91662518865
10675769856
113174aa993
1216a392628
13aa007728
1465a6bb56
153e4d818b
hex28476e00

675769856 has 60 divisors (see below), whose sum is σ = 1434630648. Its totient is φ = 317939712.

The previous prime is 675769849. The next prime is 675769859. The reversal of 675769856 is 658967576.

It is a junction number, because it is equal to n+sod(n) for n = 675769795 and 675769804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675769859) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 145685 + ... + 150251.

Almost surely, 2675769856 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 675769856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717315324).

675769856 is an abundant number, since it is smaller than the sum of its proper divisors (758860792).

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

675769856 is an equidigital number, since it uses as much as digits as its factorization.

675769856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4586 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 59.

The square root of 675769856 is about 25995.5737770875. The cubic root of 675769856 is about 877.5386869955.

The spelling of 675769856 in words is "six hundred seventy-five million, seven hundred sixty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 1088 1156 2176 2312 4352 4567 4624 8704 9134 9248 18268 18496 36536 36992 73072 73984 77639 146144 147968 155278 292288 310556 584576 621112 1169152 1242224 1319863 2338304 2484448 2639726 4968896 5279452 9937792 10558904 19875584 21117808 39751168 42235616 84471232 168942464 337884928 675769856