Search a number
-
+
85795038 = 235725219
BaseRepresentation
bin1010001110100…
…10000011011110
312222102211200000
411013102003132
5133430420123
612302515130
72061150210
oct507220336
9188384600
1085795038
114447a09a
1224895aa6
1314a0bcc4
14b5745b0
1577eab43
hex51d20de

85795038 has 48 divisors (see below), whose sum is σ = 220321920. Its totient is φ = 24511896.

The previous prime is 85795033. The next prime is 85795049. The reversal of 85795038 is 83059758.

It is a junction number, because it is equal to n+sod(n) for n = 85794984 and 85795002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85795033) 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 23 ways as a sum of consecutive naturals, for example, 9208 + ... + 16011.

It is an arithmetic number, because the mean of its divisors is an integer number (4590040).

Almost surely, 285795038 is an apocalyptic number.

85795038 is an abundant number, since it is smaller than the sum of its proper divisors (134526882).

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

85795038 is a wasteful number, since it uses less digits than its factorization.

85795038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25243 (or 25231 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 85795038 is about 9262.5610929159. The cubic root of 85795038 is about 441.0495571131.

The spelling of 85795038 in words is "eighty-five million, seven hundred ninety-five thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 25219 50438 75657 151314 176533 226971 353066 453942 529599 680913 1059198 1361826 1588797 2042739 3177594 4085478 4766391 6128217 9532782 12256434 14299173 28598346 42897519 85795038