Search a number
-
+
291982086 = 232112336329
BaseRepresentation
bin10001011001110…
…100101100000110
3202100102020010100
4101121310230012
51044221411321
644550104530
710143543504
oct2131645406
9670366110
10291982086
1113a8a8510
128194b146
1348651486
142aac7674
151a978326
hex11674b06

291982086 has 48 divisors (see below), whose sum is σ = 693210960. Its totient is φ = 88085760.

The previous prime is 291982081. The next prime is 291982127. The reversal of 291982086 is 680289192.

It is a super-2 number, since 2×2919820862 = 170507077089822792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (291982081) 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, 42970 + ... + 49298.

It is an arithmetic number, because the mean of its divisors is an integer number (14441895).

Almost surely, 2291982086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 291982086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346605480).

291982086 is an abundant number, since it is smaller than the sum of its proper divisors (401228874).

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

291982086 is a wasteful number, since it uses less digits than its factorization.

291982086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6581 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 291982086 is about 17087.4833138177. The cubic root of 291982086 is about 663.4151764430.

The spelling of 291982086 in words is "two hundred ninety-one million, nine hundred eighty-two thousand, eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 233 466 699 1398 2097 2563 4194 5126 6329 7689 12658 15378 18987 23067 37974 46134 56961 69619 113922 139238 208857 417714 626571 1253142 1474657 2949314 4423971 8847942 13271913 16221227 26543826 32442454 48663681 97327362 145991043 291982086