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7868025 = 3252112172
BaseRepresentation
bin11110000000111001111001
3112210201220100
4132000321321
54003234100
6440350013
7123606564
oct36007171
915721810
107868025
114494400
122775309
131826349
14108b4db
15a56400
hex780e79

7868025 has 81 divisors (see below), whose sum is σ = 16454893. Its totient is φ = 3590400.

The previous prime is 7867999. The next prime is 7868027. The reversal of 7868025 is 5208687.

The square root of 7868025 is 2805.

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

7868025 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 184041 + 7683984 = 429^2 + 2772^2 .

It is not a de Polignac number, because 7868025 - 27 = 7867897 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7868027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 462817 + ... + 462833.

Almost surely, 27868025 is an apocalyptic number.

7868025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7868025 is the 2805-th square number.

7868025 is the 1403-rd centered octagonal number.

It is an amenable number.

7868025 is an abundant number, since it is smaller than the sum of its proper divisors (8586868).

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

7868025 is a wasteful number, since it uses less digits than its factorization.

7868025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The cubic root of 7868025 is about 198.8941045809.

Multiplying 7868025 by its sum of digits (36), we get a square (283248900 = 168302).

The spelling of 7868025 in words is "seven million, eight hundred sixty-eight thousand, twenty-five".

Divisors: 1 3 5 9 11 15 17 25 33 45 51 55 75 85 99 121 153 165 187 225 255 275 289 363 425 495 561 605 765 825 867 935 1089 1275 1445 1683 1815 2057 2475 2601 2805 3025 3179 3825 4335 4675 5445 6171 7225 8415 9075 9537 10285 13005 14025 15895 18513 21675 27225 28611 30855 34969 42075 47685 51425 65025 79475 92565 104907 143055 154275 174845 238425 314721 462825 524535 715275 874225 1573605 2622675 7868025