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85418225 = 5210133829
BaseRepresentation
bin1010001011101…
…10000011110001
312221201200202222
411011312003301
5133331340400
612250450425
72055020504
oct505660361
9187650688
1085418225
1144241a82
1224733a15
1314909639
14b4b713b
157774185
hex51760f1

85418225 has 12 divisors (see below), whose sum is σ = 106970460. Its totient is φ = 67656000.

The previous prime is 85418219. The next prime is 85418227. The reversal of 85418225 is 52281458.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6012304 + 79405921 = 2452^2 + 8911^2 .

It is not a de Polignac number, because 85418225 - 26 = 85418161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85418227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14390 + ... + 19439.

It is an arithmetic number, because the mean of its divisors is an integer number (8914205).

Almost surely, 285418225 is an apocalyptic number.

It is an amenable number.

85418225 is a deficient number, since it is larger than the sum of its proper divisors (21552235).

85418225 is a wasteful number, since it uses less digits than its factorization.

85418225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33940 (or 33935 counting only the distinct ones).

The product of its digits is 25600, while the sum is 35.

The square root of 85418225 is about 9242.1980610675. The cubic root of 85418225 is about 440.4029108979.

The spelling of 85418225 in words is "eighty-five million, four hundred eighteen thousand, two hundred twenty-five".

Divisors: 1 5 25 101 505 2525 33829 169145 845725 3416729 17083645 85418225