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85795290 = 232572331191
BaseRepresentation
bin1010001110100…
…10000111011010
312222102212000100
411013102013122
5133430422130
612302520230
72061151020
oct507220732
9188385010
1085795290
114447a2a9
1224896076
1314a0c159
14b574710
1577eac60
hex51d21da

85795290 has 192 divisors, whose sum is σ = 276037632. Its totient is φ = 18057600.

The previous prime is 85795271. The next prime is 85795361. The reversal of 85795290 is 9259758.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 449095 + ... + 449285.

It is an arithmetic number, because the mean of its divisors is an integer number (1437696).

Almost surely, 285795290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85795290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138018816).

85795290 is an abundant number, since it is smaller than the sum of its proper divisors (190242342).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85795290 is a wasteful number, since it uses less digits than its factorization.

85795290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 85795290 is about 9262.5746960551. The cubic root of 85795290 is about 441.0499889344.

The spelling of 85795290 in words is "eighty-five million, seven hundred ninety-five thousand, two hundred ninety".