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85525825 = 5272112577
BaseRepresentation
bin1010001100100…
…00010101000001
312221221011101011
411012100111001
5133343311300
612253040521
72055646300
oct506202501
9187834334
1085525825
1144305900
1224786141
13149465c8
14b504437
157795eba
hex5190541

85525825 has 54 divisors (see below), whose sum is σ = 135836358. Its totient is φ = 53222400.

The previous prime is 85525813. The next prime is 85525829. The reversal of 85525825 is 52852558.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 27415696 + 58110129 = 5236^2 + 7623^2 .

It is not a de Polignac number, because 85525825 - 27 = 85525697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85525829) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 147937 + ... + 148513.

Almost surely, 285525825 is an apocalyptic number.

It is an amenable number.

85525825 is a deficient number, since it is larger than the sum of its proper divisors (50310533).

85525825 is a wasteful number, since it uses less digits than its factorization.

85525825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 600 counting only the distinct ones).

The product of its digits is 160000, while the sum is 40.

The square root of 85525825 is about 9248.0173550875. The cubic root of 85525825 is about 440.5877561868.

The spelling of 85525825 in words is "eighty-five million, five hundred twenty-five thousand, eight hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 175 245 275 385 539 577 605 847 1225 1925 2695 2885 3025 4039 4235 5929 6347 13475 14425 20195 21175 28273 29645 31735 44429 69817 100975 141365 148225 158675 222145 311003 349085 488719 706825 1110725 1555015 1745425 2443595 3421033 7775075 12217975 17105165 85525825