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675585504 = 253211213253
BaseRepresentation
bin101000010001001…
…001110111100000
31202002020022002100
4220101021313200
52340422214004
6151012050400
722512245016
oct5021116740
91662208070
10675585504
11317394430
1216a303a00
13a9c71849
1465a208b6
153e49d739
hex28449de0

675585504 has 72 divisors (see below), whose sum is σ = 2095860312. Its totient is φ = 204721920.

The previous prime is 675585487. The next prime is 675585523. The reversal of 675585504 is 405585576.

675585504 is a `hidden beast` number, since 67 + 5 + 5 + 85 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 675585504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103459 + ... + 109794.

It is an arithmetic number, because the mean of its divisors is an integer number (29109171).

Almost surely, 2675585504 is an apocalyptic number.

It is an amenable number.

675585504 is an abundant number, since it is smaller than the sum of its proper divisors (1420274808).

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

675585504 is a wasteful number, since it uses less digits than its factorization.

675585504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213280 (or 213269 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The square root of 675585504 is about 25992.0277008163. The cubic root of 675585504 is about 877.4588813615.

The spelling of 675585504 in words is "six hundred seventy-five million, five hundred eighty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 213253 426506 639759 853012 1279518 1706024 1919277 2345783 2559036 3412048 3838554 4691566 5118072 6824096 7037349 7677108 9383132 10236144 14074698 15354216 18766264 20472288 21112047 28149396 30708432 37532528 42224094 56298792 61416864 75065056 84448188 112597584 168896376 225195168 337792752 675585504