Search a number
-
+
86358636 = 223471329101
BaseRepresentation
bin1010010010110…
…11101001101100
320000111110210000
411021123221230
5134101434021
612322544300
72066015310
oct511335154
9200443700
1086358636
1144824581
1224b08090
1314b786b0
14b67db40
1578acb26
hex525ba6c

86358636 has 240 divisors, whose sum is σ = 290283840. Its totient is φ = 21772800.

The previous prime is 86358631. The next prime is 86358641. The reversal of 86358636 is 63685368.

86358636 is a `hidden beast` number, since 8 + 6 + 3 + 5 + 8 + 636 = 666.

It is an interprime number because it is at equal distance from previous prime (86358631) and next prime (86358641).

It is a junction number, because it is equal to n+sod(n) for n = 86358591 and 86358600.

It is not an unprimeable number, because it can be changed into a prime (86358631) by changing a digit.

It is a Kaprekar number, because its square (7457814011780496) can be partitioned into two parts whose sum is 86358636.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 854986 + ... + 855086.

It is an arithmetic number, because the mean of its divisors is an integer number (1209516).

Almost surely, 286358636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86358636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145141920).

86358636 is an abundant number, since it is smaller than the sum of its proper divisors (203925204).

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

86358636 is a wasteful number, since it uses less digits than its factorization.

86358636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 86358636 is about 9292.9347355935. The cubic root of 86358636 is about 442.0132193722.

The spelling of 86358636 in words is "eighty-six million, three hundred fifty-eight thousand, six hundred thirty-six".