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6390825 = 352723747
BaseRepresentation
bin11000011000010000101001
3110000200120020
4120120100221
53114001300
6344551053
7105215100
oct30302051
913020506
106390825
113675581
122182489
131429b6c
14bc5037
158638a0
hex618429

6390825 has 72 divisors (see below), whose sum is σ = 12892032. Its totient is φ = 2782080.

The previous prime is 6390799. The next prime is 6390829. The reversal of 6390825 is 5280936.

It is a happy number.

It is not a de Polignac number, because 6390825 - 27 = 6390697 is a prime.

6390825 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (6390829) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135952 + ... + 135998.

It is an arithmetic number, because the mean of its divisors is an integer number (179056).

Almost surely, 26390825 is an apocalyptic number.

It is an amenable number.

6390825 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

6390825 is a wasteful number, since it uses less digits than its factorization.

6390825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 6390825 is about 2528.0081091642. The cubic root of 6390825 is about 185.5747888770.

The spelling of 6390825 in words is "six million, three hundred ninety thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 37 47 49 75 105 111 141 147 175 185 235 245 259 329 525 555 705 735 777 925 987 1175 1225 1295 1645 1739 1813 2303 2775 3525 3675 3885 4935 5217 5439 6475 6909 8225 8695 9065 11515 12173 19425 24675 26085 27195 34545 36519 43475 45325 57575 60865 85211 130425 135975 172725 182595 255633 304325 426055 912975 1278165 2130275 6390825