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82893225 = 35231101353
BaseRepresentation
bin1001111000011…
…01100110101001
312202222102010110
410330031212221
5132210040400
612120404533
72024403132
oct474154651
9182872113
1082893225
11428779a8
1223916749
131423425c
14b01ac89
157425e50
hex4f0d9a9

82893225 has 48 divisors (see below), whose sum is σ = 143276544. Its totient is φ = 42240000.

The previous prime is 82893211. The next prime is 82893227. The reversal of 82893225 is 52239828.

82893225 = 12632 + 12642 + ... + 13122.

It is not a de Polignac number, because 82893225 - 211 = 82891177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82893227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234649 + ... + 235001.

It is an arithmetic number, because the mean of its divisors is an integer number (2984928).

Almost surely, 282893225 is an apocalyptic number.

It is an amenable number.

82893225 is a deficient number, since it is larger than the sum of its proper divisors (60383319).

82893225 is a wasteful number, since it uses less digits than its factorization.

82893225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 493 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 82893225 is about 9104.5716538451. The cubic root of 82893225 is about 436.0199346299.

The spelling of 82893225 in words is "eighty-two million, eight hundred ninety-three thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 31 75 93 101 155 303 353 465 505 775 1059 1515 1765 2325 2525 3131 5295 7575 8825 9393 10943 15655 26475 32829 35653 46965 54715 78275 106959 164145 178265 234825 273575 534795 820725 891325 1105243 2673975 3315729 5526215 16578645 27631075 82893225