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8085088 = 2511103223
BaseRepresentation
bin11110110101111001100000
3120012202122201
4132311321200
54032210323
6445142544
7125502454
oct36657140
916182581
108085088
1146224a0
12285aa54
1318a109b
141106664
15a9a8ad
hex7b5e60

8085088 has 48 divisors (see below), whose sum is σ = 17611776. Its totient is φ = 3623040.

The previous prime is 8085083. The next prime is 8085101. The reversal of 8085088 is 8805808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8085083) 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 7 ways as a sum of consecutive naturals, for example, 36145 + ... + 36367.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 28085088 is an apocalyptic number.

8085088 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8085088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805888).

8085088 is an abundant number, since it is smaller than the sum of its proper divisors (9526688).

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

8085088 is a wasteful number, since it uses less digits than its factorization.

8085088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 37.

The square root of 8085088 is about 2843.4289159393. The cubic root of 8085088 is about 200.7065675387.

Subtracting from 8085088 its product of nonzero digits (20480), we obtain a palindrome (8064608).

The spelling of 8085088 in words is "eight million, eighty-five thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 103 176 206 223 352 412 446 824 892 1133 1648 1784 2266 2453 3296 3568 4532 4906 7136 9064 9812 18128 19624 22969 36256 39248 45938 78496 91876 183752 252659 367504 505318 735008 1010636 2021272 4042544 8085088