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85301925 = 35219311931
BaseRepresentation
bin1010001010110…
…01101010100101
312221111210020120
411011121222211
5133314130200
612244152153
72054024442
oct505315245
9187453216
1085301925
1144172665
1224698659
1314898717
14b4869c9
15774e9a0
hex5159aa5

85301925 has 48 divisors (see below), whose sum is σ = 153323520. Its totient is φ = 41688000.

The previous prime is 85301911. The next prime is 85301927. The reversal of 85301925 is 52910358.

It is not a de Polignac number, because 85301925 - 217 = 85170853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85301927) 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 47 ways as a sum of consecutive naturals, for example, 43210 + ... + 45140.

It is an arithmetic number, because the mean of its divisors is an integer number (3194240).

Almost surely, 285301925 is an apocalyptic number.

It is an amenable number.

85301925 is a deficient number, since it is larger than the sum of its proper divisors (68021595).

85301925 is a wasteful number, since it uses less digits than its factorization.

85301925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 85301925 is about 9235.9041246648. The cubic root of 85301925 is about 440.2029452911.

The spelling of 85301925 in words is "eighty-five million, three hundred one thousand, nine hundred twenty-five".

Divisors: 1 3 5 15 19 25 31 57 75 93 95 155 285 465 475 589 775 1425 1767 1931 2325 2945 5793 8835 9655 14725 28965 36689 44175 48275 59861 110067 144825 179583 183445 299305 550335 897915 917225 1137359 1496525 2751675 3412077 4489575 5686795 17060385 28433975 85301925