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682515625 = 56112192
BaseRepresentation
bin101000101011100…
…101110010101001
31202120021101102111
4220223211302221
52344211000000
6151420402321
722625200321
oct5053456251
91676241374
10682515625
11320298100
121706a63a1
13ab529ccc
1466906281
153edbbcba
hex28ae5ca9

682515625 has 63 divisors (see below), whose sum is σ = 989694363. Its totient is φ = 470250000.

The previous prime is 682515583. The next prime is 682515637. The reversal of 682515625 is 526515286.

The square root of 682515625 is 26125.

It is a perfect power (a square), and thus also a powerful number.

682515625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 597949209 + 84566416 = 24453^2 + 9196^2 .

It is not a de Polignac number, because 682515625 - 27 = 682515497 is a prime.

Its product of digits (144000) is a multiple of the sum of its prime factors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 35921866 + ... + 35921884.

Almost surely, 2682515625 is an apocalyptic number.

682515625 is the 26125-th square number.

682515625 is the 13063-rd centered octagonal number.

It is an amenable number.

682515625 is a deficient number, since it is larger than the sum of its proper divisors (307178738).

682515625 is an frugal number, since it uses more digits than its factorization.

682515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 35 counting only the distinct ones).

The product of its digits is 144000, while the sum is 40.

The cubic root of 682515625 is about 880.4489896296.

The spelling of 682515625 in words is "six hundred eighty-two million, five hundred fifteen thousand, six hundred twenty-five".

Divisors: 1 5 11 19 25 55 95 121 125 209 275 361 475 605 625 1045 1375 1805 2299 2375 3025 3125 3971 5225 6875 9025 11495 11875 15125 15625 19855 26125 34375 43681 45125 57475 59375 75625 99275 130625 171875 218405 225625 287375 296875 378125 496375 653125 1092025 1128125 1436875 1890625 2481875 3265625 5460125 5640625 7184375 12409375 27300625 35921875 62046875 136503125 682515625